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Which of the following represents the solution to the inequality x/3 - 2 < 1?

Practice Questions

Q1
Which of the following represents 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

Which of the following represents 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. This gives you x/3 < 1 + 2.
  • Step 3: Simplify the right side. 1 + 2 equals 3, so now you have x/3 < 3.
  • Step 4: To get x by itself, 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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