# Solving One-Variable Inequalities

Total word count: 224
Pages: 1

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 What is a correct first step in solving the inequality -4(3 – 5x)≥ -6x + 9? -12 + 20x ≥ -6x + 9 Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)? B (point three graphed this way —>) What value of x is in the solution set of -5x – 15 > 10 + 20x? -1 Solve the inequality. 2(4 + 2x) ≥ 5x + 5? 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 – 4x) < 6x – 4? x>3 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. Which is a correct first step in solving 5 – 2x < 8x – 3? 5 < 10x – 3 Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8? C (point -0.5 graphed this way <—) Which are correct representations of the inequality 6x ≥ 3 + 4(2x – 1)? Check all that apply. 1 ≥ 2x E (point on 0.5 and graphed this way —->) What value of x is in the solution set of 3(x – 4) ≥ 5x + 2? -10

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