Solving and Graphing Compound Inequalities

Solve:
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

Could x = - 5 be a solution to the inequality -6 < 3x + 9 < 21?

• yes

• no 

Tags

CCSS.6.EE.B.5

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

Could x = 3 be solution to the inequality 
6 < x + 5 ≤ 11? 

• Yes 

• No 

Tags

CCSS.6.EE.B.5

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

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

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

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

• A

• B

• C

• D

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

Write an inequality for Graph 2.

• −2 ≤ x < 5

• x ≤ −2 AND x > 5

• x ≥ −2 OR x < 5

• −2 ≤ x ≤ 5