Solving One-Variable Inequalities

Question 1

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 2

Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?

Revolt · Accepted Answer

A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at negative 0.5 and a bold line starts at negative 0.5 and is pointing to the left.

Question 3

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 4

is in the solution set

Revolt · Accepted Answer

–2

Question 5

Which are correct representations of the inequality 6x ≥ 3 + 4(2x – 1)? Select three options.1 ≥ 2x6x ≥ 3 + 8x – 4

Revolt · Accepted Answer

1 ≥ 2x; 6x ≥ 3 + 8x – 4; A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the left.

Question 6

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 7

What value of x is in the solution set of the inequality 8x – 6 > 12 + 2x?

Revolt · Accepted Answer

5

Question 8

Solve the inequality.2(4+2x)≥5x+5

Revolt · Accepted Answer

x≤3

Question 9

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

Revolt · Accepted Answer

5 < 10x – 3

Question 10

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

Revolt · Accepted Answer

–10

Solving One-Variable Inequalities Answers

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