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What is the solution to the inequality -2x + 4 > 0?

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Question: What is the solution to the inequality -2x + 4 > 0?

Options:

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

Correct Answer: x > 2

Solution:

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

What is the solution to the inequality -2x + 4 > 0?

Practice Questions

Q1
What is the solution to the inequality -2x + 4 > 0?
  1. x < 2
  2. x > 2
  3. x ≤ 2
  4. x ≥ 2

Questions & Step-by-Step Solutions

What is the solution to the inequality -2x + 4 > 0?
  • Step 1: Start with the inequality -2x + 4 > 0.
  • Step 2: To isolate the term with x, subtract 4 from both sides. This gives you -2x > -4.
  • Step 3: Now, divide both sides of the inequality by -2. Remember, when you divide by a negative number, you must flip the inequality sign. So, -4 divided by -2 becomes 2, and the inequality changes direction: x < 2.
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