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Solve the inequality 3x - 7 < 2x + 1.

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Question: Solve the inequality 3x - 7 < 2x + 1.

Options:

  1. x < 8
  2. x > 8
  3. x < 6
  4. x > 6

Correct Answer: x < 6

Solution: 

3x - 7 < 2x + 1 => x < 8.

Solve the inequality 3x - 7 < 2x + 1.

Practice Questions

Q1
Solve the inequality 3x - 7 < 2x + 1.
  1. x < 8
  2. x > 8
  3. x < 6
  4. x > 6

Questions & Step-by-Step Solutions

Solve the inequality 3x - 7 < 2x + 1.
  • Step 1: Start with the inequality: 3x - 7 < 2x + 1.
  • Step 2: To isolate x, first subtract 2x from both sides: 3x - 2x - 7 < 1.
  • Step 3: This simplifies to: x - 7 < 1.
  • Step 4: Next, add 7 to both sides to isolate x: x < 1 + 7.
  • Step 5: This simplifies to: x < 8.
  • Linear Inequalities – Understanding how to manipulate and solve inequalities involving linear expressions.
  • Isolating Variables – The process of rearranging the inequality to isolate the variable on one side.
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