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What is the solution to the inequality 8 - 2x > 0?

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Question: What is the solution to the inequality 8 - 2x > 0?

Options:

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

Correct Answer: x > 4

Solution: 

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

What is the solution to the inequality 8 - 2x > 0?

Practice Questions

Q1
What is the solution to the inequality 8 - 2x > 0?
  1. x < 4
  2. x > 4
  3. x < 2
  4. x > 2

Questions & Step-by-Step Solutions

What is the solution to the inequality 8 - 2x > 0?
Correct Answer: x < 4
  • Step 1: Start with the inequality: 8 - 2x > 0.
  • Step 2: To isolate the term with x, subtract 8 from both sides: 8 - 2x - 8 > 0 - 8.
  • Step 3: This simplifies to: -2x > -8.
  • Step 4: Now, divide both sides by -2. Remember, when you divide by a negative number, you must flip the inequality sign: -2x / -2 < -8 / -2.
  • Step 5: This simplifies to: x < 4.
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