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Solve the inequality 3x - 4 < 2x + 1.

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Question: Solve the inequality 3x - 4 < 2x + 1.

Options:

  1. x < 5
  2. x > 5
  3. x ≤ 5
  4. x ≥ 5

Correct Answer: x < 5

Solution: 

3x - 4 < 2x + 1 => x < 5.

Solve the inequality 3x - 4 < 2x + 1.

Practice Questions

Q1
Solve the inequality 3x - 4 < 2x + 1.
  1. x < 5
  2. x > 5
  3. x ≤ 5
  4. x ≥ 5

Questions & Step-by-Step Solutions

Solve the inequality 3x - 4 < 2x + 1.
Correct Answer: x < 5
  • Step 1: Start with the inequality: 3x - 4 < 2x + 1.
  • Step 2: To isolate x, first subtract 2x from both sides: 3x - 2x - 4 < 1.
  • Step 3: This simplifies to: x - 4 < 1.
  • Step 4: Next, add 4 to both sides to isolate x: x < 1 + 4.
  • Step 5: This simplifies to: x < 5.
  • Inequalities – Understanding how to manipulate and solve inequalities involving linear expressions.
  • Algebraic Manipulation – Applying algebraic techniques to isolate the variable and solve for its value.
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