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What is the solution to the inequality 4x - 1 ≤ 3x + 2?

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Question: What is the solution to the inequality 4x - 1 ≤ 3x + 2?

Options:

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

Correct Answer: x ≤ 3

Solution: 

4x - 1 ≤ 3x + 2 => x ≤ 3.

What is the solution to the inequality 4x - 1 ≤ 3x + 2?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the solution to 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.
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