Solving One-Variable Inequalities

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. What is the missing step in solving the inequality 5 - 8x < 2x + 3?

Add 8x to both sides of the inequality.

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

-7

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

5 < 10x - 3

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

-10

What is a correct first step in solving the inequality -4(3 - 5x)≥ -6x + 9?

-12 + 20x ≥ -6x + 9

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

-4

Which number line represents the solution set for the inequality -1/2 x ≥ 4?

Line 2.

Solve the inequality. 2(4x - 3) ≥ -3(3x) + 5x?

x ≥ 0.5

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

5

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

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

What value of x is in the solution set of 2x - 3 > 11 - 5x?

4

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

Line 3.

Step 1: -10 + 8x < 6x - 4 Step 2: -10 < -2x - 4 Step 3: -6 < -2x Step 4: ____________ What is the final step in solving the inequality -2(5 - 4) < 6x - 4?

x < 3

Solve the inequality. 2(4 + 2x) ≥ 5x + 5?

x ≤ 3

What value of x is in the solution set of 2(3x - 1) ≥ 4x - 6?

-1

Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)?

Line 2.