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What is the solution for the inequality 6 - 2x ≥ 0?

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Question: What is the solution for the inequality 6 - 2x ≥ 0?

Options:

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

Correct Answer: x ≤ 3

Solution: 

6 - 2x ≥ 0 => -2x ≥ -6 => x ≤ 3.

What is the solution for the inequality 6 - 2x ≥ 0?

Practice Questions

Q1
What is the solution for the inequality 6 - 2x ≥ 0?
  1. x ≤ 3
  2. x > 3
  3. x < 3
  4. x ≥ 3

Questions & Step-by-Step Solutions

What is the solution for the inequality 6 - 2x ≥ 0?
Correct Answer: x ≤ 3
  • Step 1: Start with the inequality: 6 - 2x ≥ 0.
  • Step 2: To isolate the term with x, subtract 6 from both sides: 6 - 2x - 6 ≥ 0 - 6.
  • Step 3: This simplifies to: -2x ≥ -6.
  • Step 4: Now, divide both sides by -2. Remember, when you divide by a negative number, you must flip the inequality sign: -2x / -2 ≤ -6 / -2.
  • Step 5: This simplifies to: x ≤ 3.
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