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Graphing Inequalities
Solving One-Step Inequalities
Two-Step
Solving Multi-Step Inequalities
Potpourri
100

Graph the inequality x - 9 >= -7 on a number line.

What is closed dot from 2 to positive infinity?

100
Solve. 41 + g > 27
What is g>-14?
100

Solve

n/5 - 10 >= 10

What is n>=10.

100

Solve. 13 + 4c > 3(c + 13)

What is c > 26

100
Solve for x. 3(-3a + 4) = -9a + 12
What is all numbers?
200

Graph the inequality on a number line. 

3x + 9 <= 15

What is closed dot from 2 to negative infinity?

200
Solve. w + 23 >= -18
What is w>= -41
200

Solve. 3b - 2 < 13

What is b < 5.

200
Solve. 4(g - 3) + 1 <= 5
What is g <=4?
200
3(5x – 2) – 6x = 3(3x + 2)
What is no solution?
300

Graph this inequality on a coordinate plane. 

2y > 4x + 8

What is y > 2x + 4. Dotted line, shaded above the line.

300
Solve. a + 15 <= 9
What is a<= -6?
300

Solve.

-8 - 8x >= 64

What is x <= -9

300
Solve. 2(-a - 8) - 15 < 9
What is a > -20?
300
4 - 8x = 13x + 2(2 +x)
What is x = 0?
400

Graph this inequality on a coordinate plane. 

6x + 4y >= 2

What is y >= -3/2x + 1/2. Solid line, shaded above the line.

400
Solve. z + 27 < 16
What is z < -11?
400

Solve.

-t/3 + 8 >= 14

What is t <= -66

400
Solve. 9 + c/6 <= 17
What is c <= 48?
400
What is the solution to this inequality? 10x - 10 - 7x > 3x - 2
What is no solution?
500

Graph the inequality on a coordinate plane. 

-5y - 15x >= 25

What is y <= -3x -5. Solid line, shaded below the line. 

500

Solve.

8(p+3) > 2(4p-1)

What is 24>-2; Infinite Solution

500
Solve. (1/3)p - 8 >= 4 + p
What is p <= -18?
500
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?