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Find the solution set for the inequality: 3x + 2 > 5.

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Question: Find the solution set for the inequality: 3x + 2 > 5.

Options:

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

Correct Answer: x > 1

Solution: 

Step 1: Subtract 2 from both sides: 3x > 3. Step 2: Divide by 3: x > 1.

Find the solution set for the inequality: 3x + 2 > 5.

Practice Questions

Q1
Find the solution set for the inequality: 3x + 2 > 5.
  1. x > 1
  2. x < 1
  3. x ≥ 1
  4. x ≤ 1

Questions & Step-by-Step Solutions

Find the solution set for the inequality: 3x + 2 > 5.
  • Step 1: Start with the inequality 3x + 2 > 5.
  • Step 2: Subtract 2 from both sides to isolate the term with x. This gives you 3x > 3.
  • Step 3: Now, divide both sides of the inequality by 3 to solve for x. This results in x > 1.
  • Inequalities – Understanding how to manipulate and solve linear inequalities.
  • Algebraic Operations – Applying basic algebraic operations such as addition, subtraction, and division to isolate the variable.
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