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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 > -3
  2. x < -3
  3. x > 3
  4. x < 3

Correct Answer: x > 3

Solution: 

x/3 + 2 > 1 => x/3 > -1 => x > -3.

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 > -3
  2. x < -3
  3. x > 3
  4. x < 3

Questions & Step-by-Step Solutions

Solve the inequality x/3 + 2 > 1. What is the solution?
Correct Answer: x > -3
  • Step 1: Start with the inequality: x/3 + 2 > 1.
  • Step 2: To isolate x/3, subtract 2 from both sides of the inequality: x/3 + 2 - 2 > 1 - 2.
  • Step 3: This simplifies to: x/3 > -1.
  • Step 4: Now, to get rid of the fraction, multiply both sides of the inequality by 3: 3 * (x/3) > 3 * (-1).
  • Step 5: This simplifies to: x > -3.
  • Step 6: The solution to the inequality is x > -3.
  • Inequalities – Understanding how to manipulate and solve inequalities, including isolating the variable.
  • Algebraic Manipulation – Applying basic algebraic operations to both sides of the inequality.
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