Solve this inequality. -y + 3 < 8 and y + 2 > 9

Answers

Answer 1

y+2>9

-2 on both sides

y>7

-y+3<8

-3 on both sides

-y<5

y is still negative so simply divide both sides by -1

y>-5

Answer 2

The inequality y > 7 represents the solution set of the given compound inequality.

What is inequality?

Inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.

Given is the following compound inequality.

- y + 3 < 8 and y + 2 > 9

We have -

- y + 3 < 8 and y + 2 > 9

Now, first we will solve inequality (1)

- y + 3 < 8

- y + 3 < 8

- y + 3 - 3 < 8 - 3

- y < 5

y > 5

Solving inequality (2)

y + 2 > 9

y + 2 - 2 > 9 - 2

y > 7

We have two possible solution sets -

y > 5   and   y > 7

To satisfy both the solution sets, the inequality y > 7 will be the final solution of the given compound inequality.

Therefore, the inequality y > 7 represents the solution of the given compound inequality.

To solve more questions on inequality, visit the link below-

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Related Questions

Question 2c: Which dog sitting service is better if you need 5 hours of service? Explain your answer PLEASE!

Answers

Jacobs dog: $5 x 5 hours plus $ 12 service is $37
Jacks dog : $3 x 5 hours plus $18 service is $ 33
So it’s cheaper to go with jacks dog service

Solve the inequality: -7y - 3x < 21

Answers

Answer:

x>  -7/3y -7

Step-by-step explanation: -7y-3x<21

Step 1: Add 7y to both sides.

−3x−7y+7y<21+7y

−3x<7y+21

Step 2: Divide both sides by -3.

-3x/-3 < 7y+21/-3

x>-7/3y -7

Which angle has a measure equal to the sum
of m_SQR and mzQRS?
O ZRSC
O LSRE
O ZDQS
O ZQSR

Answers

Answer:< RSC

Step-by-step explanation:

The angle has a measure equal to the sum of m <SQR and m <QRS is

m <RSC.

The correct option is A.

We have the information from which we can write

<SQR and < QRS are two interior angles of triangle QRS

Then, m<QSR = 180 - (sum of other 2 angles)

m<QSR = 180 - (m<SQR + m<QRS) (Angle sum property)

Also, m<RSC = 180 - m<QSR

Then <RSC = (m<SQR + m<QRS)

Thus, the ideal solution is A.

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a bricklayer stacks bricks in 2 rows with 10 bricks each in each row on top of each row there is a stack of 6 bricks how many bricks are there in total​

Answers

Let me see.

Row 1 = 10 bricks

Row 2 = 10 bricks

On top of each row there are 6 bricks.

Two rows times 6 bricks per row is 12 bricks.

Total = 20 + 12 or 32 bricks.

which of the following explains why soft drinks are such an unhealthy choice?

A. one soft drink contains about 25% of daily caloric intake

B. one soft drink contains nearly an entire daily allowance for sugar

C. the carbonation contains unnatural additives that contribute to obesity

D. the carbonation is a preservatives that also adds sugar ​

Answers

The answer is c joto

Answer:

A or B

Step-by-step explanation:

anyone know the first one ? i'll brainlist ​

Answers

Answer: ray

Step-by-step explanation:

Answer:

Ray

Step-by-step explanation:

because incident ray means the ray that comes from an object and strikes a surface and also it seems to work in that problem.

Did I get this right? If I did not please correct me and explain please thank you.

Answers

Answer:  Yes. 10 1/2 is right.

Step-by-step explanation:

You added the amounts to find the total cups  5 3/4 + 1 1/4 to get 7

Then divided by 2/3 cups per week to get 10 1/2 weeks.

Renee hiked for 434 miles. After resting, Renee hiked back along the same route for 3 14 miles. How many more miles does Renee need to hike to return to the place where she started?

1 12 miles
1 12 miles

8 miles
8 miles

−1 12 miles
−1 12 miles

7 48 miles

Answers

Answer: -1 1/2

Hope it helps :)

Translate the following sentence into an equation, then find the number. Five times a number less than 18 is is equal to 13.​

Answers

Answer:

The answer would be 5x-18=13

Step-by-step explanation:

When given five times than a number, 5 would be multiplied by (x) since x can be any number. Less than 18 means subtract 18. Is equal to means an eual sign and the equation is equal to 13.

In each of the four relations below, the x values represent inputs and the y values represent the corresponding outputs. Which relation does not represent a function? * A) { (-2, -3), (1, 3), (3, -3), (5, 3) } B) { (-1, -5), (2, 4), (3, 7), (4, 10) } C) { (-2, 3), (1, 3), (3, 3), (5, 3) } D) { (3, 4), (4, 5), (3, -4), (4, -5) }

Answers

Given:

In each of the four relations below, the x values represent inputs and the y values represent the corresponding outputs.

To find:

The relation which does not represent a function.

Solution:

A relation is a function if there exist a unique output for each input.

In options A, B and C, we get unique output for each input.

In option D, we get two outputs y=4 and y=-4 for input x=3.

Since, there exist more than one output values for a single input value, therefore it is not a function.

Therefore, the correct option is D.

HELP QUICK PLS WILL GIVE BRAINLIEST
A vine called the mile-a-minute weed is known for growing at a very fast rate. It can grow up to 0.5 ft per day. How fast in inches per hour can the mile-a-minute weed grow up to? Show your work using the correct conversion factors

Answers

Answer: 0.4 Inches

Step-by-step explanation:

Someone said it in the comments, give credit to them.

how many seconds in 4 minutes? its for PE class-

Answers

the answer is 240 seconds :)

give the other person brainliest

John has 125 marbles. 35 are green; 40 are red; 20 are yellow and the rest are blue. What is the ratio of the blue marbles to all the marbles? *

40 to 30
6 to 25
25 to 6
35 to 125

Answers

Answer:

a

Step-by-step explanation:

2(4+c)=67 help solve for c

Answers

Answer:

c = 29.5 or

c = 59/2

Step-by-step explanation:

2 (4 + c) = 67

8 + 2c = 67

8 - 8 + 2c = 67 - 8

2c = 59

c = 29.5

A car travels 42 miles each hour for 4 hours. Calculate the distance that the car traveled.

Answers

Answer:

168 miles total

Step-by-step explanation:

42 miles x 4 hours = 168

Answer:

168 miles in 4 hours

Step-by-step explanation:

42x4=168, meaning that in 4 hours, the car travels at a constant speed of 42mph and travels a total of 168 miles in 4 hours

Which point is a solution to the inequality shown in this graph?


A (6,0)

B (5,-5)

C (0,-3)

D (0,-5)

Answers

Answer:

(0,-3)

Step-by-step explanation:

Apex

for a small party of 12 people, the caterer offered a choice of a steak dinner for $12:00 per or a chicken dinner for $10.50 the final cost for the meals was 138:00. how many of each was ordered?​

Answers

Answer:

let the $12 dish be x and the other y

x + y = 12 <--- 1

12x + 10.50y= 138 <--- 2

multiply equation 1 by 12

so now we have

12x + 12y = 144

12x + 10.50y = 138

now subtract each one and that cancels out x

1.5y = 6

y = 4

now subsitute that into any equation

x + 4 = 12

x = 12 - 4

x = 8

can you help my sis out again? im sorry

Answers

Answer:

3.7 x  10^-2

Step-by-step explanation: I know all...sike i dont...thats correct tho

What is the correct symbol to compare the expressions?




Pls Answer

Answers

Answer:

b

Step-by-step explanation:\

when you have a nuber inside a I -7 I and a I -8 you forget about any sign and just take the number so 8 is greater then 7

Answer:

>

Step-by-step explanation:

|-8| = 8

|-7| = 7

8>7

Suppose you can buy garden fencing in lengths of 50 feet at the local hardware store. A. If you bought 100 feet of fencing and wish to enclose a rectangular garden in your backyard, what should be the dimensions of your garden in order to maximize area?

Answers

Answer:

The answer is below

Step-by-step explanation:

Let the length of the rectangular area be L and W be the width of the rectangular garden hence:

Perimeter = 2(L + W)

There is 100 feet of fencing available which represents the perimeter, therefore:

100 = 2(L + W)

L + W = 100/2

L + W = 50  

L = 50 - W

The area (A) = L × W

A = L × W

A = (50 - W) × W

A = 50W - W²

To get maximum area, we find the first derivative of the area and equate to zero

A' = 50 - 2W

50 - 2W = 0

2W = 50

W = 50/2

W = 25 feet

100 = 2(L + W)

50 = L + W

L = 50 - W = 50 - 25

L = 25 feet

To maximize area, the length and width should be 25 feet each

If you subtract 13 from my number and multiply the difference by -2 ​, the result is ​-44." What is ​'s ​number

Answers

Answer:

n = 35

Step-by-step explanation:

n - 13 x -2 = -44

distribute:

(n x -2) - (13 x -2) = -44

-2n - (-26) = -44

two negatives in front of a number makes it a positive number

so rewrite -2n + 26 = -44

-2n = -44 -26

-2n = -70

n = [tex]\frac{-70}{-2}[/tex]

n = 35

calc check (35 - 13) x -2 = 22 x (-2) = -44

is CH4 + 2O2 CO2 + 2H2O a balanced eqaution.

Answers

Answer:

yes

Step-by-step explanation:

all the carbon hydrogen and oxygen are well balanced

A 38-ounce bottle of juice drink contains 6 percent water. Than computed 6 percent of 38. His work is shown below.

6 percent of 38 0.6 times 38 = 22.8

Which statement explains Than’s error?
Than did not multiply 0.6 and 38 correctly.
Than did not use 0.06 for 6 percent.
Than did not move the decimal point three places to the left in the answer.
Than did not use 6 for 6 percent.

Answers

Answer:

C

Step-by-step explanation:

Answer:

it b or c

Step-by-step explanation:

1. Find the GCF:
a. 16 and 54


b. 25 and 30

Answers

A is 2
B is 5 hope this helps

slope intercept form of 5x - 4y = 28

Answers

Answer:

y=-5x-7

Step-by-step explanation:

5x-4y=28

-4y=-5x+28

y=-5x-7

Match the following items.


Given:
bisectsRTS
R ≅S

Prove:


1. Segment TQ bisects ∠RTS; ∠R ≅ ∠S
2. ∠1 ≅ ∠2
3. Segment TQ ⊥ Segment RS
4. Triangle RTQ congruent to Triangle STQ
5. ∠3 ≅ ∠4
6. TQ ≅ TQ

a. Definition of perpendicular.
b. Given
c. AAS
d. CPCTE
e. Definition of angle bisector.
f. Reflexive

Answers

Answer:

1. Segment TQ bisects ∠RTS; ∠R ≅ ∠S             b. Given

2. ∠1 ≅ ∠2                                                            e. Definition of angle bisector

3. Segment TQ ⊥ Segment RS                          a. Definition of perpendicular

4. Triangle RTQ congruent to Triangle STQ     c. AAS

5. ∠3 ≅ ∠4                                                            d. CPCTE

6. TQ ≅ TQ                                                           f. Reflexive

Step-by-step explanation:

Good luck on the rest of your assignment!

Answer: Answer:

1. Segment TQ bisects ∠RTS; ∠R ≅ ∠S             b. Given

2. ∠1 ≅ ∠2                                                            e. Definition of angle bisector

3. Segment TQ ⊥ Segment RS                          a. Definition of perpendicular

4. Triangle RTQ congruent to Triangle STQ     c. AAS

5. ∠3 ≅ ∠4                                                            d. CPCTE

6. TQ ≅ TQ                                                           f. Reflexive

Step-by-step explanation:

Good luck on the rest of your assignment!

please help thank you

Answers

Answer:

k=12

Step-by-step explanation:

hope this helps :))

Pleaseee help me with my math show work please I need the work

Answers

I'm sorry the photo is on a side. I'm too lazy to text it on here lol

What is 6+6+2
need to actually ask something to give away points or the bots will report lol

Answers

Answer:

14

Step-by-step explanation:

because 6+6 is 12 and add 2 is 14

Solve for the indicated variable.



A = LW, solve for W

Answers

Where’s the numbers to solve?
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