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

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

Options:

  1. x ≤ 9
  2. x ≥ 9
  3. x < 9
  4. x > 9

Correct Answer: x ≤ 9

Solution: 

x/3 - 2 ≤ 1 => x/3 ≤ 3 => x ≤ 9.

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

Practice Questions

Q1
What is the solution to the inequality x/3 - 2 ≤ 1?
  1. x ≤ 9
  2. x ≥ 9
  3. x < 9
  4. x > 9

Questions & Step-by-Step Solutions

What is the solution to the inequality x/3 - 2 ≤ 1?
Correct Answer: x ≤ 9
  • Step 1: Start with the inequality: x/3 - 2 ≤ 1.
  • Step 2: To isolate x/3, add 2 to both sides of the inequality: x/3 - 2 + 2 ≤ 1 + 2.
  • Step 3: This simplifies to: x/3 ≤ 3.
  • Step 4: Now, to get x by itself, multiply both sides of the inequality by 3: 3 * (x/3) ≤ 3 * 3.
  • Step 5: This simplifies to: x ≤ 9.
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