Solving Compound Linear Inequalities

What inequality is graphed?

• 2 < x ≤ -3

• 2 < x < -3

• x > 2 or x ≤ -3

• x > 2 or x < -3

Solve: -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -2 ≤ x ≤ 6

• -3 ≤ x ≤ 3

• 1 ≤ x ≤ 3

Solve the inequality:

2x + 1 > 9 or x - 4 < 6

• No solution

• 4 < x < 10

• x > 4 or x < 10

• All real numbers

Solve the inequality:

9x - 6 > 66 AND 4x + 8 > 24

• No Solution

• x > 8

• x > 4

• 4 < x < 8

What inequality is graphed? 

• x > 2 and x ≤ -3

• x > 2 and x < -3

• x > 2 or x ≤ -3

• x > 2 or x < -3

Write an inequality for Graph 4.

• -2 < x < 5

• x < -2 or x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x ≤ 5

Solve the inequality:

-3x + 7 >25 AND -9 - 5x < -39

• -6 < x < 6

• No Solution

• x < -6

• x > 6

Solve the inequality:

x - 10 > -7 OR 8 - 2x < 6

• x > 3

• All Real Numbers

• x > 1

• x < 1 or x > 3

Solve.

\( -5\left|x-4\right|>-20 \)

• x < 8 and x > 0

• x > 8 or x < 0

• all real numbers

• no solution

• n > 1 or n < -7

• n > -1 or n < -7

• -7 < n < -1

• no solution