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What is the solution to the inequality 5 - 2x ≤ 1?

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Question: What is the solution to the inequality 5 - 2x ≤ 1?

Options:

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

Correct Answer: x ≥ 2

Solution: 

5 - 2x ≤ 1 => -2x ≤ -4 => x ≥ 2.

What is the solution to the inequality 5 - 2x ≤ 1?

Practice Questions

Q1
What is the solution to the inequality 5 - 2x ≤ 1?
  1. x ≥ 2
  2. x ≤ 2
  3. x < 2
  4. x > 2

Questions & Step-by-Step Solutions

What is the solution to the inequality 5 - 2x ≤ 1?
Correct Answer: x ≥ 2
  • Step 1: Start with the inequality: 5 - 2x ≤ 1.
  • Step 2: Subtract 5 from both sides to isolate the term with x: -2x ≤ 1 - 5.
  • Step 3: Simplify the right side: -2x ≤ -4.
  • Step 4: Divide both sides by -2. Remember, when you divide by a negative number, you must flip the inequality sign: x ≥ 2.
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