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

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

Options:

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

Correct Answer: x ≤ 9

Solution: 

x/3 - 1 ≤ 2 => x/3 ≤ 3 => x ≤ 9

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

Practice Questions

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

Questions & Step-by-Step Solutions

What is the solution set for the inequality x/3 - 1 ≤ 2?
  • Step 1: Start with the inequality x/3 - 1 ≤ 2.
  • Step 2: Add 1 to both sides of the inequality to isolate the term with x. This gives you x/3 ≤ 2 + 1.
  • Step 3: Simplify the right side. 2 + 1 equals 3, so now you have x/3 ≤ 3.
  • Step 4: To eliminate the fraction, multiply both sides of the inequality by 3. This gives you x ≤ 3 * 3.
  • Step 5: Simplify the right side. 3 * 3 equals 9, so now you have x ≤ 9.
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