Solving Combined Inequalities

Graph the inequality:

x ≤ 5 or x > 9

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Solve the compound inequality.

• –3 < x ≤ 13

• –7 ≤ x < 9

• –7 < x ≤ 9

• –3 ≤ x < 13

Solve the inequality:

4n – 5 < 4(n – 2) + 9

• n < 6

• n < 4

• Infinite Solutions

• No Solution

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

• f < 0.5

• f > 0.5

• f < 1.2

• f > 1.2

Solve for x

4x + 3 ≤ −6

• x ≥ −9

• x ≤ −9

• x ≥ −2.25

• x ≤ −2.25

Tags

CCSS.7.EE.B.4B

m ≤ 15

• m ≤ 15

• m ≥ 15

• m ≤ 8

• m ≥ 8

Tags

CCSS.7.EE.B.4B

Match the system to the graph (solution set is on the left)

• y ≤ 3x   and  y ≤ -2x + 4

• y > 3x   and  y > -2x + 4

• y < 3x   and  y > -2x + 3

• y > 3x   and  y < -2x + 4

Tags

CCSS.HSA.REI.D.12

Which of the following is not a solution to this system of inequalities?

• (0,-1)

• (0,3)

• (4,0)

• (6,-2)

Tags

CCSS.HSA.REI.D.12

Select the correct graph for each inequality.

• A

• B

• C

• D

Tags

CCSS.HSA.REI.D.12