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What is the solution to the inequality x/2 - 1 ≤ 3?

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Question: What is the solution to the inequality x/2 - 1 ≤ 3?

Options:

  1. x ≤ 8
  2. x ≥ 8
  3. x ≤ 6
  4. x ≥ 6

Correct Answer: x ≤ 8

Solution: 

x/2 - 1 ≤ 3 => x/2 ≤ 4 => x ≤ 8.

What is the solution to the inequality x/2 - 1 ≤ 3?

Practice Questions

Q1
What is the solution to the inequality x/2 - 1 ≤ 3?
  1. x ≤ 8
  2. x ≥ 8
  3. x ≤ 6
  4. x ≥ 6

Questions & Step-by-Step Solutions

What is the solution to the inequality x/2 - 1 ≤ 3?
Correct Answer: x ≤ 8
  • Step 1: Start with the inequality x/2 - 1 ≤ 3.
  • Step 2: To isolate x/2, add 1 to both sides of the inequality. This gives you x/2 ≤ 3 + 1.
  • Step 3: Simplify the right side. Now you have x/2 ≤ 4.
  • Step 4: To solve for x, multiply both sides of the inequality by 2. This gives you x ≤ 4 * 2.
  • Step 5: Simplify the right side. Now you have x ≤ 8.
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