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Graphing Inequalities
One Step Inequalities
Two Step Inequalities
Multi-Step Inequalities
Multi-Step Inequalities (Distributing)
100

Graph x ≥ -1

Closed dot at -1, going right

100
Solve: m + 5 > -3
What is m > -8
100
Solve: 16 + 3x ≥ -2
What is x ≥ -6
100
Solve: 2y - 5 > 9 + 3y
What is y < -14
100
Solve: 5(x - 1) < 40
What is x < 9
200

Graph y < -5

open dot at -5, going left

200
Solve: -3 + x ≤ -2
What is x ≤ 1
200
Solve: -5x - 12 > 8
What is x < -4
200
Solve: 9 ≥ -2x + 2 - 3
What is x ≥ -5
200
Solve: 2(6 + 4x) ≥ 12 - 8x
What is x ≥ 0
300

Graph r ≤ -17

Closed dot at -17, going left

300
Solve: -7b > 42
What is b < -6
300
Solve: -7 + x/14 ≥ -6
What is x ≥ 14
300
Solve: 9 + 4x < x + 5 - 2
What is x < -2
300
Solve: -33 - x < -3(2x + 1)
What is x < 6
400

Graph 35 > d

Closed dot at 35, going left

400
Solve: b/3 ≥ -12
What is b ≥ -36
400
Solve: 12x + 8 ≤ -100
What is x ≤ -9
400
Solve: 3x - 5 - 4x ≤ -13 - 2x
What is x ≤ -8
400
Solve: -3(-7x - 6) -7 < x - 29
What is x < -2
500

Graph k ≥ -7 and k < 10

Closed dot at-7, open dot at 10, shade in between

500
Solve: 111 + y ≥ 256
What is y ≥ 14
500
Solve: -20 + x/5 ≤ 10
What is x ≤ 150
500
Solve: 6x + 1 + 6x - 5 < 8x + 2 + 6
What is: x < 3
500
Solve: -2(x - 12) -5(x + 2) < -9x + 4x
What is x > 7