A.5B Solving Inequalities Using Addition & Subtraction

Solve the following inequality:
p - 4 < 2

• p < - 2
• p < 6
• p > 6
• p < 8

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the following inequality:
s + 1 ≥ -5

• s ≥ -6
• s ≥ - 4
• s < -6
• s ≤ -4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the following inequality:
k - 14 ≤ - 10

• k ≤ 24
• k ≥ 4
• k ≤ 4
• k ≤ -24

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

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

• n > ⁷/₂
• n > -¹/₂
• n > 1
• n > ¹/₂

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the following inequality:
-4.5 + q > 2.5 

• q > -7
• q > 2
• q > 7
• q > -6.2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

What is the solution to 3x+12<2x+17 ?

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

s - 10 ≤ 1

• s ≤ 11
• s ≤ 9
• s ≥ 11
• s ≥ 9

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

10 ≥ x - 3

• x ≤ 13
• x ≥ 13
• x ≤ 7
• x ≥ 7

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3