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Solve the inequality: -2(x + 3) > 6.

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Question: Solve the inequality: -2(x + 3) > 6.

Options:

  1. x < -6
  2. x > -6
  3. x < 0
  4. x > 0

Correct Answer: x < -6

Solution: 

Step 1: Distribute: -2x - 6 > 6. Step 2: Add 6: -2x > 12. Step 3: Divide by -2 (reverse inequality): x < -6.

Solve the inequality: -2(x + 3) > 6.

Practice Questions

Q1
Solve the inequality: -2(x + 3) > 6.
  1. x < -6
  2. x > -6
  3. x < 0
  4. x > 0

Questions & Step-by-Step Solutions

Solve the inequality: -2(x + 3) > 6.
  • Inequalities – Understanding how to manipulate and solve inequalities, including the effect of multiplying or dividing by negative numbers.
  • Distributive Property – Applying the distributive property to simplify expressions before solving.
  • Reversing Inequality – Recognizing that the direction of the inequality changes when dividing or multiplying by a negative number.
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