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Find the solution set for the inequality 2x + 4 < 3x - 1.

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Question: Find the solution set for the inequality 2x + 4 < 3x - 1.

Options:

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

Correct Answer: x > 5

Solution: 

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

Find the solution set for the inequality 2x + 4 < 3x - 1.

Practice Questions

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

Questions & Step-by-Step Solutions

Find the solution set for the inequality 2x + 4 < 3x - 1.
Correct Answer: x > 5
  • Step 1: Start with the inequality: 2x + 4 < 3x - 1.
  • Step 2: To isolate x, first subtract 2x from both sides: 4 < 3x - 2x - 1.
  • Step 3: This simplifies to: 4 < x - 1.
  • Step 4: Next, add 1 to both sides to isolate x: 4 + 1 < x.
  • Step 5: This simplifies to: 5 < x.
  • Step 6: We can also write this as: x > 5.
  • Inequalities – Understanding how to manipulate and solve linear inequalities.
  • Algebraic Manipulation – Skills in rearranging equations and isolating variables.
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