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Determine the solution set for the inequality 3x - 4 < 2x + 5.

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Question: Determine the solution set for the inequality 3x - 4 < 2x + 5.

Options:

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

Correct Answer: x < 9

Solution: 

3x - 4 < 2x + 5 => x < 9.

Determine the solution set for the inequality 3x - 4 < 2x + 5.

Practice Questions

Q1
Determine the solution set for the inequality 3x - 4 < 2x + 5.
  1. x < 9
  2. x > 9
  3. x ≤ 9
  4. x ≥ 9

Questions & Step-by-Step Solutions

Determine the solution set for the inequality 3x - 4 < 2x + 5.
Correct Answer: x < 9
  • Step 1: Start with the inequality: 3x - 4 < 2x + 5.
  • Step 2: To isolate x, first subtract 2x from both sides: 3x - 2x - 4 < 5.
  • Step 3: This simplifies to: x - 4 < 5.
  • Step 4: Next, add 4 to both sides to isolate x: x < 5 + 4.
  • Step 5: This simplifies to: x < 9.
  • Inequalities – Understanding how to manipulate and solve linear inequalities.
  • Algebraic Manipulation – Skills in isolating the variable and performing operations on both sides of the inequality.
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