Solving & Graphing Compound Inequalities

Write an inequality for Graph 3.

• x ≤ −2 AND x > 5

• x ≤ −2 OR x > 5

• x ≥ −2 OR x < 5

• −2 ≤ x < 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

Solve the following compound inequality:

−4x + 1 ≤ 21 and 5x + 2 < 22

• x > −5 or x ≤ 4

• x ≥ −5 or x < 4

• x > −5 and x ≤ 4

• x ≥ −5 and x < 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the following inequality:

3x + 2 < −4 or 4x + 4 > 24

• x < −2 or x > 5

• x < 2 or x > 5

• x < −2 and x > 5

• x < 2 and x > 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the following compound inequality:

0 < x + 7 < 9

• −7 < x and x < 2

• −7 < x or x < 2

• −7 > x and x > 2

• −7 > x or x > 2

Tags

CCSS.HSA.REI.B.3

Solve the compound inequality above and identify the graph which represents the solution.

• A

• B

• C

• D

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

What inequality is graphed?

• x > 2 and x ≤ −3

• x > 2 and x < −3

• x > 2 or x ≤ −3

• x > 2 or x < −3

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

Solve the following compound inequality:

3x − 4 < −13 or 7x + 1 > 22

• All Real numbers

• x > 3 and x > −9

• The answer is not listed

• x < −3 or x > 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Write an inequality for Graph 2.

• −2 ≤ x < 5

• x ≤ −2 AND x > 5

• x ≥ −2 OR x < 5

• −2 ≤ x ≤ 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

Solve the following compound inequality:

−8 < 2(x + 4) or −3x + 4 > x − 4

• No solutions

• x < −8 or x < 2

• x > −8 or x < 2

• x < −8 and x < 2

Tags

CCSS.HSA.REI.B.3

Solve each compound inequality and graph its solution.

• A

• B

• C

• D

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12