Solving and Graphing Linear Inequalities

Solving inequalities

100

Y - 2 > 3

Y > 5

200

4 > x - 3

X < 7

300

3p < 27

P < 9

400

-13t > 26

t < -2

500

0.09d < -1.8

d < -20

Multi-step inequalities

100

3x + 5 > 20

x > 5

200

8(t + 4) > -8

t > -5

300

7 + 8n < 4n - 17

n < -6

400

8(m + 2) < 4(5 + 2m)

All real numbers

500

5/6(12z - 24) > 2/5(25z - 25)

No solution

Compound inequalities

100

2 < y - 4 < 7

6 < y < 11

200

-27 < 9x < 27

-3 < x < 3

300

2 < 6z - 10 < 20

2 < z < 5

400

-4m < 8 or 2m - 2 < -12

m > -2 or m < -5

500

9t - 20 > 4t or 4 < -1/2t

t > 4 or t < -8

Absolute value equations

100

|x| = 8

8, -8

200

|y|= -10

No solution

300

6|z - 4| = 36

-2, 10

400

|5r| + 10 = 15

-1, 1

500

2|3s + 4| = 14

-11/3, 1

Absolute value inequalities

100

|x| < 3

-3 < x < 3

200

|y| > 5

y < -5 or y > 5

300

|x + 2| > 6

x < -8 or x > 4

400

3|p -3| < 12

-1 < p < 7

500

|3q + 2| - 3 > 8

q < -13/3 or q > 3