Solving Compound Inequality Number Line

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:

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

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

• A

• B

• C

• D

What inequality does the number line graph represent?

• x ≥ 3

• x > 3

• x < −3

• x ≤ 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

Solve the following compound inequality:

• −7 < x and x < -4

• −7 < x or x < -4

• −7 > x and x > -4

• −7 > x or x > -4

What inequality does the number line graph represent?

• x ≤ 4

• x ≥ −4

• x < −4

• x < 4

Write an inequality for Graph 2.

• −2 ≤ x < 5

• x ≤ −2 AND x > 5

• x ≥ −2 OR x < 5

• −2 ≤ x ≤ 5

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5

• x ≤ -2 OR x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x < 5

What inequality does the number line graph represent?

• x > 5

• x < −5

• x ≥ 5

• x ≥ −5