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Solve the inequality 3x + 5 < 2x + 8.

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Question: Solve the inequality 3x + 5 < 2x + 8.

Options:

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

Correct Answer: x < 3

Solution: 

3x + 5 < 2x + 8 => x < 3.

Solve the inequality 3x + 5 < 2x + 8.

Practice Questions

Q1
Solve the inequality 3x + 5 < 2x + 8.
  1. x < 3
  2. x > 3
  3. x < 2
  4. x > 2

Questions & Step-by-Step Solutions

Solve the inequality 3x + 5 < 2x + 8.
Correct Answer: x < 3
  • Step 1: Start with the inequality: 3x + 5 < 2x + 8.
  • Step 2: To isolate x, first subtract 2x from both sides: 3x - 2x + 5 < 8.
  • Step 3: This simplifies to: x + 5 < 8.
  • Step 4: Next, subtract 5 from both sides: x + 5 - 5 < 8 - 5.
  • Step 5: This simplifies to: x < 3.
  • Linear Inequalities – Understanding how to manipulate and solve linear inequalities involving variables.
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