Multi-Step Inequalities and Interval Notation

Express the following in Interval Notation
 -8 ≤ x < 8 

• [-8, 8]

• [-8,8)

• (-8, 8]

• (-8, 8)

Solve:  -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -1 < x < 3

• 1 < x < 3

• 1 ≤ x ≤ 3

Solve the inequality.

Solve:

3x + 2 < -4 or 4x + 4 > 24

• x < -2 or x > 5

• x < -2 and x > 5

• x < 2 or x > 5

• x < 2 and x > 5

Express the following in Interval Notation
-9 < x ≤ -4

• [-9, -4]

• (-9,-4]

• [-9, -4]

• (-9,-4)

Solve the following inequality:
-4x + 14 ≤ 54

• x ≥ -10

• x ≤ -10

• x ≥ 10

• x ≤ 10

What is the solution set for
9x - 1 > 71

• x > 8

• x < 5

• x > -3

• x < -7

Convert into its interval notation:

• (-1, 4)

• [-1, 4]

• (-1, 4]

• [-1, 4)

In interval notation, positive and negative ∞ are always closed in by ______.

• ( ) Parentheses

• [ ] Square Brackets

• { } Curly Brackets

Solve

3x − (2 + 6x) ≤ -32

• x ≥ 10

• x< -10

• x ≥ -10

• All real numbers