Algebra I

Solving Inequalities

100

3x + 4 < 19

x < 5

200

7 ≤ 2x - 5

6 ≤ x

300

2(x+5) < 8

x < -1

400

0.5(x-2) ≤ 4

x ≤ 10

500

6 - 0.2x < 9

x > -15

Solving Inequalities 2

100

5 + 2x < -3x

x > -1

200

4x - 7 > 9x + 8

x < -3

300

-3(2-x) ≥ 6(x +1)

x ≤ -4

400

3x + 1 > 3(x-1)

All real numbers

500

3(x+1) > 3x + 5

No solution

Solving Compound Inequalities

100

-4 < x+6 < 10

-10 < x <4

200

-3+x > 4 OR x+1<-1

x > 7 OR x < -2

300

2 > x+3 > 5

No solution

400

12 ≥ x+7 > 5

5 ≥ x > -2

500

3 < x+9 OR 1 > x-4

All real numbers

Solving Absolute-Value Inequalities

100

|x| - 7 ≤ 15

-22 ≤ x ≤ 22

200

|x+4| > 8

x < -12 OR x > 4

300

|x+9| + 11 < 20

-18 < x < 0

400

14|x| - 15 ≥ 41

x ≤ -4 OR x ≥ 4

500

|x+5.5| - 6.4 ≤ 4.9

-16.8 ≤ x ≤ 5.8

Random

100

x - 5 > -7

x > -2

200

-2x ≤ 2

c ≥ -1

300

2x - 6 > 3x + 2

x < -8

400

x + 7 < 3 OR x - 1 > 4

x < -4 OR x > 5

500

6|x|+4 ≥ 16

x ≥ 2 OR x ≤ -2