Solving Inequalities and Graphing

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

• A

• B

• C

• D

What inequality is graphed?

• x > 2 and x ≤ −3

• x > 2 and x < −3

• x > 2 or x ≤ −3

• x > 2 or x < −3

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

Solve each compound inequality and graph its solution.

• A

• B

• C

• D

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

0 < x + 7 < 9

• -7

• -7

• -7>x and x>2

• -7>x or x>2

• A
• B
• C
• D

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5

• x ≤ -2 OR x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x < 5

Which compound inequality is graphed above?

• x >5 OR x< -2

• x >5 OR x> -2

• x< 5 AND x> -2

• x ≥5 AND x< -2