Solve the inequality . Justify each step with a property of inequality. Drag the correct property to each correct step.

Question

[Hint: the GIVEN inequality is the first line of work]

1 -3(9x+20)≥ 15x-20

2 -27x-60≥ 15x-20

3 -42x-60≥ -20

4 -42x≥ 40

5 x ≤-20/21

Correct Answers: addition/subtraction property of inequality, Multiplication/ Division property of inequality Given inequality, Distributive Property

Answer 1

1 -3(9x+20)≥ 15x-20 Given inequality

2 -27x-60≥ 15x-20 Distributive Property is used to clear the parenthesis

3 -42x-60≥ -20 addition/subtraction property of inequality to move the x terms to one side of the equation

4 -42x≥ 40 addition/subtraction property of inequality to move the constants to one side of the equation

5 x ≤-20/21 Multiplication/ Division property of inequality to divide both sides by -42 for the final answer