Solving Inequalities Using Addition or Subtraction

Solve the inequality 12 + p > 36.

• p > 24

• p = 24

• p < 24

Solve the following inequality:
p - 4 < 2

• p < - 2

• p < 6

• p > 6

• p < 8

Solve the following inequality:
s + 1 ≥ -5

• s ≥ -6

• s ≥ - 4

• s < -6

• s ≤ -4

Solve the following inequality:
k - 14 ≤ - 10

• k ≤ 24

• k ≥ 4

• k ≤ 4

• k ≤ -24

s - 10 ≤ 1

• s ≤ 11

• s ≤ 9

• s ≥ 11

• s ≥ 9

Solve the following inequality:
-4.5 + q > 2.5 

• q > -7

• q > 2

• q > 7

• q > -6.2

Solve the following inequality:
n + ³/₂ > 2

• n > ⁷/₂

• n > -¹/₂

• n > 1

• n > ¹/₂

Solve the following inequality:
d - 2.4 ≤ -5.1

• d ≤ -2.7

• d ≤ - 9.5

• d > -3.5

• d ≥ -3.7

To stay within the budge, the area of the house and garage combined is at most 3000 square feet. The area of the garage is 528 square feet. Write and solve an inequality that represents the area of the house.

• a ≤ 2,472 square feet

• a < 2,472 square feet

• a ≥ 1,587 square feet

• a < 3,467 square feet

You have $137.26 in a bank account. The bank requires you to have at least $50 in your account or else you are charged a fee. Write and solve an inequality that shows the amount you can write your next check for without being charged.

• x < $87.26

• x ≥ $76.51

• x ≤ $87.26

• x ≤ $187.26