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What is the solution to the inequality 3x - 5 ≤ 4?

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Question: What is the solution to the inequality 3x - 5 ≤ 4?

Options:

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

Correct Answer: x ≤ 3

Solution: 

3x - 5 ≤ 4 => 3x ≤ 9 => x ≤ 3

What is the solution to the inequality 3x - 5 ≤ 4?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the solution to the inequality 3x - 5 ≤ 4?
  • Step 1: Start with the inequality: 3x - 5 ≤ 4.
  • Step 2: Add 5 to both sides of the inequality to isolate the term with x. This gives you: 3x - 5 + 5 ≤ 4 + 5.
  • Step 3: Simplify both sides. The left side becomes 3x and the right side becomes 9. So now you have: 3x ≤ 9.
  • Step 4: Now, divide both sides of the inequality by 3 to solve for x. This gives you: 3x / 3 ≤ 9 / 3.
  • Step 5: Simplify again. The left side becomes x and the right side becomes 3. So now you have: x ≤ 3.
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