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What is the solution set for the inequality 4x - 1 < 3x + 2?

Practice Questions

Q1
What is the solution set for the inequality 4x - 1 < 3x + 2?
  1. x < 3
  2. x > 3
  3. x < 1
  4. x > 1

Questions & Step-by-Step Solutions

What is the solution set for 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 solve for x: x < 2 + 1.
  • Step 5: This simplifies to: x < 3.
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