Solving and Graphing Compound Inequalities

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

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:

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 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 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.REI.B.3

CCSS.HSA.REI.D.12

When do you change the sign when solving a compound inequality?

• You don't change the sign.

• When multiplying or dividing by a negative number.

• When adding or subtracting by a negative number.

• When multiplying or dividing by a positive number.

Tags

CCSS.HSA.REI.B.3

Your taxi fare is $2.50 per mile, plus a $5 fee. You have a budget of $20. Which inequality models this scenario?

• 5x + 2.50 ≤ 20

• 2.50x + 5 < 20

• 2.50x + 5 ≤ 20

• 7.50x < 20

Tags

CCSS.7.EE.B.4B