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

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

Options:

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

Correct Answer: x ≤ 9

Solution: 

x/3 - 2 ≤ 1 => x/3 ≤ 3 => x ≤ 9.

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

Practice Questions

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

Questions & Step-by-Step Solutions

Solve the inequality x/3 - 2 ≤ 1. What is the solution?
  • 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.
  • Inequalities – Understanding how to manipulate and solve inequalities, including isolating the variable.
  • Algebraic Manipulation – Applying operations to both sides of the inequality correctly.
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