Writing and Graphing Inequalities
Solving inequalities by
Add & Sub
Solving inequalities by Multiply & Divide
Solving Two-Step Inequalities
Solving Multi-Step Inequalities
1

Graph the inequality x - 9 > -7

What is closed dot from 2 to positive infinity?

1

Solve 41 + g > 27

What is g>-14?

1

Solve n/5 ≤ 1.6

What is n≤8?

1

Solve 10p - 8 ≥ 12

What is p ≥ 2?

1

Solve. 4(2x + 2) + 12 > 100

What x > 10?

2

Graph the inequality x + 9 ≤ 15

What is closed dot from 6 to negative infinity?

2

Solve w + 23 ≥ -18

What is w≥ -41

2

Solve b/3 > -8

What is b > -24?

2

Solve  50 - 8t ≥ 90.

What is t ≤ -5?

2

Solve. 4(g - 3) + 1 ≤ 5

What is g ≤ 4?

3

Write the inequality: Twice a number, x, is at least 16

What is 2x ≥ 16?

3

Solve a + 15≤ 9

What is a≤-6?

3

Solve s/-12 ≤ -5

What is s≥60?

3

Solve  -2z + 10 > 6.

What is z < 2?

3

Solve. 2(-a - 8) - 15 < 9

What is a > -20?

4
Write the inequality: 7 less than 3 times a number, y, is no more than 12

What is 3y - 12 ≤ 12?

4

Solve z + 27 < 16

What is z < -11?

4

The French Club is sponsoring a bake sale. If their goal is to raise at least $115, how many pastries must they sell at $2.50 each in order to meet that goal?

At least 46 pastries 

2.50p ≥ 115 

p ≥ 46

4

Solve 9 + c/6 ≤ 17

What is c ≤ 48?

4

Solve -2(y + 5) + 20 > 6

What is y < 2?

5

Graph the inequality x + 17 ≤ 20.

What is closed dot 3 to negative infinity?

5

Solve c - 12 ≥ -16

What is c ≥ - 4?

5

A taco stand sells tacos for $2.25 each. The stand's expenses for the day are $300. How many tacos do they need to sell in a day in order to make a profit?

What is at least 134 tacos? 

2.25n > 300 

n > 133.33

5

Manny needs to buy 5 work shirts that are each the same price. After he uses a $20 gift certificate, he can spend no more than $50. What is the maximum amount that each shirt can cost?

What is $14?

5

Twice the difference of Felipe's age, f and 4, is at least 2. What are the possible values of Felipe's age?

What is 5 and older?

2(f-4)>≥2

f≥5