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

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

Options:

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

Correct Answer: x < 3

Solution: 

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

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

Practice Questions

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

Questions & Step-by-Step Solutions

Solve the inequality 4x - 1 < 3x + 2.
Correct Answer: x < 3
  • Step 1: Start with the inequality: 4x - 1 < 3x + 2.
  • Step 2: To isolate x, first subtract 3x from both sides: 4x - 3x - 1 < 2.
  • Step 3: This simplifies to: x - 1 < 2.
  • Step 4: Next, add 1 to both sides to isolate x: x < 2 + 1.
  • Step 5: This simplifies to: x < 3.
  • Linear Inequalities – Understanding how to manipulate and solve linear inequalities involving variables.
  • Isolating Variables – The process of rearranging the inequality to isolate the variable on one side.
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