4.4 Inequalities Review

Solve the following inequality. Show your algebraic work!

• m > -2

• m > 6

• m < 5

• m < 3

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the following inequality. Show your algebraic work!

• r ≤ 3

• r ≥ 8

• r ≤ 6

• r ≥ -5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the following inequality. Show your algebraic work!

• k > 1/3

• k > 2/3

• k < -3

• k > 9

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the following inequality. Show your algebraic work!

• c ≥ 4.6

• c ≥ −3.8

• c ≥ 4.4

• c ≥ −5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the following inequality. Show your algebraic work!

• b > 6

• b < -4

• b > 1

• b < -12

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the following inequality. Show your algebraic work!

• p ≥ 1/5

• p ≥ 9

• p ≤ −6

• p ≥ −5

Solve the following inequality. Show your algebraic work!

• a < −5.5

• a > −3.5

• a > −7.5

• a > −8

Write and solve an inequality that represents the values of x for which the area of the rectangle will be at least 35 square feet.

• x ≥ 9; at least 9

• x ≥ 12; at least 12

• x ≤ 15; at most 15

• x ≤ -14; at most -14

Solve the following inequality. Show your algebraic work!

• x > -2

• x > 1

• x > 3

• x < 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

You are renting a moving truck for a day. There is a daily fee of $20 and a charge of $0.75 per mile. Your budget allows a maximum total cost of $65. Write and solve an inequality that represents the number of miles you can drive the truck.

• m ≤ 60; at most 60 miles

• m ≤ 50; at most 50 miles

• m ≥ 90; at least 90 miles

• m ≤ 80; at most 80 miles

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3