Mathematics Middle School

Solve each compound inequality and graph the solution.

1. 2x + 5 > −3 and 4x + 7 < 15

2. 2x − 5 > 3 or −4x + 7 < −25

Answers

Answer 1
1) x > -4 and x < 2

2) x > 4 and x <8
Answer 2

The required solution for inequality 1 is x >-4 and x < 2, and for inequality 2 is     x > 4  or  x > 8.

What is inequality?

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
1. 2x + 5 > −3 and 4x + 7 < 15
  2x > -8  and 4x < 8
  x > -4   and x < 2

2. 2x − 5 > 3 or −4x + 7 < −25
   2x > 8  or -4x < -32
     x > 4  or  x > 8

Now, plotting graph for both inequalities,
the double-shaded portion on the graph is the required solution for inequalities in section 1 of the question, and solution for the section 2 of the question is each shaded area of the graph.

Thus, the required solution for inequality 1 is x >-4 and x < 2, and for inequality 2 is     x > 4  or  x > 8.

Learn more about inequality here:

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Solve Each Compound Inequality And Graph The Solution. 1. 2x + 5 &gt; 3 And 4x + 7 &lt; 15 2. 2x 5 &gt;
Solve Each Compound Inequality And Graph The Solution. 1. 2x + 5 &gt; 3 And 4x + 7 &lt; 15 2. 2x 5 &gt;

Related Questions

What's the value of 6 in this number - 4,632

Answers

the value of 6 is in the hundreds place

hope this helps
Hello There!

The value is 6 hundred or 600.

Hope This Helps You!
Good Luck :) 

- Hannah ❤

A flea weighs 8 decigrams, and an ant weighs 3 milligrams. How much more does a flea weigh than an ant?

Answers

i believe the flea weighs 500 milligrams more. Don't take me for sure, its been a while since I've done this type of problem. Sorry if this didn't help.
yes I make this the same

Need help with this one also.

Answers

ty=x 9
Malcolm=x+2 11
fred=2x+4 22
x+x+2+2x+4=42
4x+6=42
-6 -6
4x=36
36÷4
x=9

Andrea ran 4 miles in 30 minutes. What was her rate in miles per hour ?

Answers

7.5. 30 divided by 4 equals 7.5
if she ran 4 miles in 30 minute then she ran 8 miles in 1 hour 
so her rate is 8mph

Jade spent 37.60 on groceries.4/5 of the total was spent on vegetables. How much was spent on others?

Answers

I just finished the work and I came up with 7.52 sorry if it's wrong
the answer is 41.65 because of the decimal and the fraction


Match the inequality to the graph of its solution.
a. n/4 ≤ -1
b. -10 ≥ -100
c. 5x ≥ 20

Answers

a. n/4 ≤ -1

Multiply both sides by 4 => n ≤ - 4, which is all the real numbers less or equal than - 4.

That in the real number line is all the numbers to the left of - 4 (including  -4)

The matching graph is the B.


b. -10n ≥ -100

Divide both sides by - 10 => n ≤ 10

That is all the real numbers less or equal than 10.

In the real number line it is all the numbers to the left of 10, including 10.

So, the matching graph is the A.


c. 5x ≥ 20

Divide both sides by 5 => x ≥ 4

That is all the real numbers greater or equal to 4.

In the real number line it is all the numbers to the right of 4, including 4.

The matching graph is C.

Alice read a total of 36 books over 6 months. After belonging to the book club for 14 months, how many books will Alice have read in all?

Answers

Well if she read 36 books in 6 months, we can conclude that she reads 6 books per month. So if we take 6 * 14, we'll get 84.

She read 84 books in 14 months
36 books = 6 months.
Divide both sides by 6.
6 books = 1 month is Alice’s reading average.
6 books x 14 months = 84 books

Alice will have read 84 books in 14 months.

Hope that helped! :)

Nicholas has a larger tropical fish collection. He gives 2/3 of his fish to a high school. Then he gives 2/5 of the remaining fish to another school. In the end he has 30 fish left. How many fish Nicolas have at first?

Answers

Let the initial count of his fish be n.

He gives away 2/3 of these fish:  2n/3, leaving n/3 fish.

He gives away 2/5 of these remaining n/3 fish:  (2/5) times (n/3), or 

2n
--- , meaning that (3/5) times (n/3) fish are left.
15

(3/5)(n/3) = n/5 fish left = 30 fish.  Thus, n = 150 fish.

Be certain to check this answer!
Final answer:

To find the original number of fish in Nicholas' collection, work backward from the information provided on how many fish he has left after donating to the schools.

Explanation:

Nicholas has a larger tropical fish collection. He gives 2/3 of his fish to a high school, then he gives 2/5 of the remaining fish to another school. In the end, he has 30 fish left. To find the original number of fish, we can work backward:

Let the original number of fish be x.After giving 2/3 of the fish, Nicholas has (1-2/3)x fish remaining.After giving 2/5 of the remaining fish, he has [tex](1-2/3)*(1-2/5)x = 30[/tex] fish left. Solve for x to find the initial number of fish.

What is the slope intercept form if the linear equation 2x+3y=6
Drag and drop the appropriate number, symbol, or variable to each box

Answers

all you have to do ia solve for y
2x+3y=6 
3y = -2x + 6
 y= -2/3x + 2
slope intercept form y= -2/3x + 2

answer
y= -2/3x + 2

What is the cost of 2 kilograms of flour if 3 kilograms cost 4.86

Answers

The answer to this is $3.24

Multiply: (-13)(-15)

Answers

The answer is 195 ok good luck
(-15)(-13) = 195


195 is your answer

hope this helps

2 negatives multiplied or divided equals to a positive

Last summer Katie mowed lawns to earn money. She mowed 35 lawns per week. And it’s $6 per lawn. She wants to earn $150 additionally than last year so she raises her price to $8.
Write down an equation to find the number of new customers Katie needs to earn additionally $150.

Answers

150=8x
Katie wants additional $150 and the slope is 8, because she is charging $8 per lawn

150=8x
Divide 8 by both sides to get x by itself
x=18.75
The answer is a decimal, but you cannot have
.75 of a person, so round it up
x=19

Katie would need 19 more customers to earn an additional $150

the summer solstice can occur on any day of the week, with each day being equally likely. what is the propability the summer solstice will occur on a weekday

Answers

There are seven days in the week.  Out of those seven days, five are weekdays and two are weekends. The probability of the summer solstice occurring on a weekday is a ratio for the # of weekdays/the # of days in a week: 5/7. 

write 7,800 in expanded form

Answers

7,800 in expanded form would be 7,000 + 800.
Hope this helps!
Expanded Notation Form
7,000
+ 800
+ 0
+ 0
Expanded Factors Form
7 x 1,000
+ 8 x 100
+ 0 x 10
+ 0 x 1
Expanded Exponential Form
7 x 10^3
+ 8 x 10^2
+ 0 x 10^1
+ 0 x 10^0
Word Form
seven thousand, eight hundred
Hope this helps! Let me know if you need any further assistance!

The agent withdraws 30% of his 10631.25 to pay for a trip to Montego bay, Jamaica. He hotel costs $350 per night for five nights plus an 8.5% room tax. How much does the agent have remaining

Answers

I believe the agent has $1,290.63 left. 

Because... 30% of 10,631.25 is $3,189.38( the exact was 3,189.375 but I rounded up). That's how much the agent has. Since it is $350 a night, 350 x 5= $1,750.00. Then you add the 8.5% to the $1,750 and you get $1,898.75.  That will be the total amount of money he will spend. So you will have to subtract $1,898.75 from $3,189.38 and the amount is $1,290.63. The remaining amount is $ 1,290.63.   I hope this helps :)

Select all the True statements below. There are 4 total!

Answers

The first four are the correct ones
The first and the last are correct

If you buy a package then you get a 12% discount The discounted price is $132. What is the price of the package without the discount.

Answers

12% of $132=15.84

$132+15.84

=$147.84


find the slope and equation for all please. I'm sorry to bother you all with this much questions but I truly don't understand.

Answers

just apply what I wrote to the other problems if you need anymore help let me know

THIS IS MUSIC/MATH PROBLEMS
ANSWER FIRST 2
quarter note+quarter note=1
HELP PLEASE

Answers

2 quarter notes  + 1 quarter note = 1 dotted half note

a grocery Store has small bags of apples for $5 and large bags of apples for $8. If you buy 6 bags and spend $45, how many of each size bag did you buy?

Answers

9 small bags and 5 large bags

Kelly is picking out an outfit to wear. The organized list below represents the sample space of all possible outfits.

Red shirt – Black pants
Red shirt – White pants
Pink shirt – Black pants
Pink shirt – White pants

Based on the list, how many different-color shirts does Kelly have to choose from?


Answers:
1
2
4
8

Answers

Might be a bit thick here but wouldn't the answer be 2
One pink and one red !!!!!!!

The number of shirts Kelly has to choose from is 2, namely Redshirt and Pink shirt. Computed using the Cartesian Product of sets.

What is the Cartesian Product of two sets?

The cartesian product of two sets A and B is a set containing ordered pairs (x, y), for every x ∈ A, and every y ∈ B.

How to solve the question?

In the question, we are informed that Kelly is picking out an outfit to wear. The organized list below represents the sample space of all possible outfits.

Redshirt – Black pants

Redshirt – White pants

Pink shirt – Black pants

Pink shirt – White pants

We are asked to find the number of different color shirts Kelly has to choose from.

Assuming the sample space to be the Cartesian Product of the set of shirts and set of pants, we can write the set of shirts as the first element of every ordered pair to get:

Set of Shirts = {Redshirt, Redshirt, Pink Shirt, Pink Shirt}.

Removing the repeating terms, we get:

Set of Shirts = {Redshirt, Pink Shirt}.

Thus, the number of shirts Kelly has to choose from is 2, namely Redshirt and Pink shirt. Computed using the Cartesian Product of sets.

Learn more about the Cartesian Product of sets at

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After 4 apples were added to a sack, there were 3 times as many apples in the sack as before. How many apples were in the sack before the addition?

Answers

Hello!
So, your equation for this problem would be—
x+4=3x
To solve this equation, you need to move the variables (x) to only one side of the equation.
So, you would use the Subtraction Property of Equality.
x+4=3x
-x -x
—————
4=2x
Now, your new equation is 4=2x.
Using the Commutative Property, we can reverse this to—
2x=4
Your next step is to find X. To do this, we can divide each side by 2.
2x=4
———
2 2

____

2/2=1. 4/2=2
Thus your new equation is—

X=2.
As a conclusion, there were 2 apples in the sack before you added the extra ones.

To check this, you could do
2+4= 6
6/3= 2

There were 2 apples originally in the sack.

Hope this helped!
Regards,
KayEmQue

The perimeter of a rectangle is 72 meters. The width is 4 meters less than its length. What is the equation to find the length and width?

Answers

To solve this, make the equation:

2l+2(l-4)=72
4l=80
The length is 20 meters.

Then, plug 20 in the other equation:
w=l-4
The width is 16 meters.

What is 90.95 rounded to the nearest whole number

Answers

90.95 rounded to the nearest whole # is 91

91 because you round the 0.9 to 1

What is the mean,median,mode(s) an range if the numbers are 15,30,17,15,24,31,15

Answers

The mean is 21.  The median is 15.  The mode is 15.  The range is 16.

Hello There!

Mean: Average of numbers in a set of data.

STEP 1: Add the numbers together. In this case, we would add

15 + 30 + 17 + 15 + 24 + 31 + 15 = 147

STEP 2: Divide the sum by the number of digits you added. We would divide

147 "sum of numbers" by 7 "number of digits" and we would get an answer of  

21.

The mean for the set of data is 21

Median: The middle number when all the numbers are listed in order.

To find the median, we would put the lowest number on the left and the biggest number on the right and continue to go from least top greatest.

-Least To Greatest-

15-15-15-17-24-30-31

In our set of numbers, we cross out one number from the left and the right each time until we come across one number in the middle. The number that is in the middle in 17.

The median for this set of data is 17

Mode: The number that occurs most often in a set of numbers.

15-15-15-17-24-30-31

Since the number 15 occurs three times, the mode for the set of data is 15.

The mode for this set of data is 15

Range: The difference between the highest and the lowest number.

15-15-15-17-24-30-31

The highest number in the set of numbers is 31 and the lowest number in this set is 15.

31 - 15 = 16

The range for this set of data is 16

solve fo X

5x
---- - 1 = 9
2

x = ?

Answers

Add 1 on both sides, then multiply 2 on both sides as well
Left with 5x=20, divide 5
X=4

solve the following equation 5/3 + = -9

Answers

Hello!
I apologize, but I think you have typed the equation wrong. The plus sign is by itself. If you could fix it, maybe I could help.
Regards,
~KayEmQue
I think there is something wrong with the equation, please rewrite so I can help.
Good Luck! :D

Whiteboard markers cost $4.75 per set at an office supply store. Which equation can be used to determine the price, P, of n sets of these markers? P = 4.75n,  n = 4.75P,  P equals 4.75 over n,  n equals 4.75 over P

Answers

The expression which represents the price of the n number of the set is p = 4.75n. The correct option is A.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Whiteboard markers cost $4.75 per set at an office supply store. There is n number of Whiteboard markers.

The expression for the cost of n numbers of the Whiteboard markers is,

P = $4.75 x n

Therefore, the expression which represents the price of the n number of the set is p = 4.75n. The correct option is A.

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louise is playing a game, but the spinner is incomplete. Each section of the spinner is labeled with the probability of spinning it. What fraction is missing

Answers

1/10 is missing as if u turn all the other fractions into decimals u will see that they all equal to 0.9 so the last bit must be 0.1 which is 1/10

u can also add the fractions
so u have to change the denominator so that all their denominator is the same using the cross method 

1/3 +1/6


6/18+3/18


=9/18


=1/2


1/2+2/5


=5/10+4/10


=9/10 


So the missing part is 1/10


I think it might be 1/8

You can buy 3 apples at the quick market for $1.35 you can buy 5 of the same apples at stop and save for $1.25 which place is better to buy?

Answers

At Stop and Save, you can get more apples for a lower price.

If you can get more apples for less, than Stop and Save is the better buy.
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