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Question 3 options:

What is the second step in solving the following inequality?
-(3x+3)-2x>-4(x-2)-2
Division Property of Inequality
Addition Property of Inequality
Distributive Property
Combine Like Terms

1 answer

To solve the inequality \(- (3x + 3) - 2x > -4(x - 2) - 2\), let's first simplify both sides step by step.

  1. Apply the Distributive Property on both sides:

    • Left side: \(- (3x + 3) = -3x - 3\)
    • Right side: \(-4(x - 2) = -4x + 8\)

    So, we rewrite the inequality as: \[ -3x - 3 - 2x > -4x + 8 - 2 \]

  2. Combine Like Terms on both sides:

    • Left side: \(-3x - 2x = -5x\)
    • Right side: \(8 - 2 = 6\) and we still have \(-4x\)

    The inequality now looks like: \[ -5x - 3 > -4x + 6 \]

So, the second step involves the Combine Like Terms. Therefore, the correct option is:

Combine Like Terms