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What is the solution to the inequality 4x - 5 < 3x + 2?

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Question: What is the solution to the inequality 4x - 5 < 3x + 2?

Options:

  1. x < 7
  2. x > 7
  3. x < -7
  4. x > -7

Correct Answer: x < 7

Solution: 

4x - 5 < 3x + 2 => x < 7.

What is the solution to the inequality 4x - 5 < 3x + 2?

Practice Questions

Q1
What is the solution to the inequality 4x - 5 < 3x + 2?
  1. x < 7
  2. x > 7
  3. x < -7
  4. x > -7

Questions & Step-by-Step Solutions

What is the solution to the inequality 4x - 5 < 3x + 2?
Correct Answer: x < 7
  • Step 1: Start with the inequality: 4x - 5 < 3x + 2.
  • Step 2: To isolate x, first subtract 3x from both sides: 4x - 3x - 5 < 2.
  • Step 3: This simplifies to: x - 5 < 2.
  • Step 4: Next, add 5 to both sides to solve for x: x < 2 + 5.
  • Step 5: This simplifies to: x < 7.
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