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

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

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 set?

Practice Questions

Q1
Solve the inequality x/3 - 2 > 1. What is the solution set?
  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 set?
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 rid of the fraction, multiply both sides by 3: 3 * (x/3) > 3 * 3.
  • Step 5: This simplifies to: x > 9.
  • Step 6: The solution set is all values of x that are greater than 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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