Solving One-Variable Inequalities

Question 1

Which number line represents the solution set for the inequality –4(x + 3) ≤ –2 – 2x?

Revolt · Accepted Answer

A number line from negative 7 to 7 in increments of 1. A point is at negative 5 and a bold line starts at negative 5 and is pointing to the right.

Question 2

Which is a correct first step in solving the inequality –4(2x – 1) > 5 – 3x?

Revolt · Accepted Answer

Distribute –4 to get –8x + 4 > 5 – 3x.

Question 3

What value of x is in the solution set of the inequality 9(2x + 1) < 9x – 18?

Revolt · Accepted Answer

–4

Question 4

Step 1: Subtract 3 from both sides of the inequality.Step 2: __________Step 3: Divide both sides of the inequality by the coefficient of x.

Revolt · Accepted Answer

Add 8x to both sides of the inequality.

Question 5

Solve the inequality.2(4+2x)≥5x+5

Revolt · Accepted Answer

x≤3

Question 6

What value of x is in the solution set of 3(x – 4) ≥ 5x + 2?

Revolt · Accepted Answer

–10

Question 7

Which number line represents the solution set for the inequality –x ≥ 4?

Revolt · Accepted Answer

A number line from negative 10 to 10 in increments of 2. A point is at negative 8 and a bold line starts at negative 8 and is pointing to the left.

Question 8

What value of x is in the solution set of the inequality 4x – 12 ≤ 16 + 8x?

Revolt · Accepted Answer

–7

Question 9

Which is a correct first step in solving 5 – 2x < 8x – 3?

Revolt · Accepted Answer

5 < 10x – 3

Question 10

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.x < 5–6x – 5 < 10 – x–6x + 15 < 10 – 5x

Solving One-Variable Inequalities Answers