Compound and Multistep Inequalities Review

Solve the inequality

• x ≤ -17

• x ≤ -11

• x ≤ 7

• x ≤ -35

Solve the inequality

• x ≥ -7

• x ≤ -7

• x ≤ -15

• x ≥ -15

Solve the inequality

• x ≤ 2

• x ≤ -2

• x ≥ 2

• x ≥ -2

Solve:
3(y+5)≥21

• y≤2

• y≥2

• y≥12

• y≤12

Solve. 5 - (x - 4) > -2

• x > 11

• x < 11

• x > -11

• x < -11

-4x + 9 - x < -3

• x > 2.4

• x < 2.4

• x > -2.4

• x < -2.4

18 ≥ 5k + 4k

• k ≤ 2

• k ≤ -2

• k ≥ 2 

• k ≥ -2

a − 6 ≤ 15 + 8a

• a ≤ -3

• a ≥ -3

• a ≤ 3

• a ≥ 3

-2(5 + 6n) < 6(8 − 2n)

• no solution

• infinite solution

• x < 0

• x > 0

What interval notation does the number line graph represent?

• [∞, -5)

• (∞, -5)

• [-5, ∞)

• (-5, ∞)