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Solve the inequality -4x + 8 > 0.

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Question: Solve the inequality -4x + 8 > 0.

Options:

  1. x < 2
  2. x > 2
  3. x < 4
  4. x > 4

Correct Answer: x > 2

Solution:

-4x + 8 > 0 => -4x > -8 => x < 2.

Solve the inequality -4x + 8 > 0.

Practice Questions

Q1
Solve the inequality -4x + 8 > 0.
  1. x < 2
  2. x > 2
  3. x < 4
  4. x > 4

Questions & Step-by-Step Solutions

Solve the inequality -4x + 8 > 0.
Correct Answer: x < 2
  • Step 1: Start with the inequality -4x + 8 > 0.
  • Step 2: To isolate the term with x, subtract 8 from both sides. This gives you -4x > -8.
  • Step 3: Now, divide both sides of the inequality by -4. Remember, when you divide by a negative number, you must flip the inequality sign. So, -8 divided by -4 becomes 2.
  • Step 4: This means x < 2.
  • Inequalities – Understanding how to manipulate and solve linear inequalities.
  • Sign Reversal – Recognizing that multiplying or dividing by a negative number reverses the inequality sign.
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