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Which of the following is a solution to the inequality: 4x - 1 ≤ 3x + 2?

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Question: Which of the following is a 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: 

Step 1: Subtract 3x from both sides: x - 1 ≤ 2. Step 2: Add 1: x ≤ 3.

Which of the following is a solution to the inequality: 4x - 1 ≤ 3x + 2?

Practice Questions

Q1
Which of the following is a 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

Which of the following is a solution to the inequality: 4x - 1 ≤ 3x + 2?
  • Step 1: Start with the inequality 4x - 1 ≤ 3x + 2.
  • Step 2: Subtract 3x from both sides to get 4x - 3x - 1 ≤ 2.
  • Step 3: This simplifies to x - 1 ≤ 2.
  • Step 4: Now, add 1 to both sides to isolate x: x - 1 + 1 ≤ 2 + 1.
  • Step 5: This simplifies to x ≤ 3.
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