Multistep Compound and Absolute Value Inequalities Interval Notation

| 2x + 12 | < 8
Which is the correct first step?

• 2x + 12 < 8 and 2x+12 >-8

• 2x + 12 < 8 or 2x+12 >-8

• 2x + 12 < 8 and 2x+12 <-8

• 2x + 12 < 8 or 2x+12 >-8

Solve:  -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -1 < x < 3

• 1 < x < 3

• 1 ≤ x ≤ 3

| 2w - 1 | < 11

• No Solution

• All Real Numbers

• -5 < w < 6

• -6 < w < 5

| x - 6 | < 4
Is this an "and"  or an "or" problem?

• and

• or

What is the solution to -36 < 3p - 6 < -15 in interval notation?

• (-10 , -3)

• [-10 , -3)

• (-infinity, -10) U (-3, infinity)

• (-infinity, -10] U (-3, infinity)

What is the solution to -1 - 10a < -1 or 10 + 3a < -5 in interval notation?

• [-5, 0)

• (-5, 0)

• (-infinity, -5] U (0, infinity)

• (-infinity, -5) U (0, infinity)

Solve the following compound inequality. Express your solution in interval notation.

−11<−2x−7≤−7  

What is the correct interval notation?

• {p/p≥-10}

• {p/p≥10 or p≥10}

• (∞, -10]

• [-10, ∞)

What is the correct interval notation?

• (-5, 0)

• {m/m≤-5 or m≥0}

• (-∞, -5] U [0, ∞)

• {m/-5≤m≤0}

Solve the inequality. Put your answer in interval form: