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What is the solution to the inequality: -3x + 6 ≤ 0?

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Question: What is the solution to the inequality: -3x + 6 ≤ 0?

Options:

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

Correct Answer: x ≥ 2

Solution: 

Step 1: Subtract 6 from both sides: -3x ≤ -6. Step 2: Divide by -3 (reverse the inequality): x ≥ 2.

What is the solution to the inequality: -3x + 6 ≤ 0?

Practice Questions

Q1
What is the solution to the inequality: -3x + 6 ≤ 0?
  1. x ≥ 2
  2. x ≤ 2
  3. x > 2
  4. x < 2

Questions & Step-by-Step Solutions

What is the solution to the inequality: -3x + 6 ≤ 0?
  • Step 1: Start with the inequality -3x + 6 ≤ 0.
  • Step 2: Subtract 6 from both sides to isolate the term with x. This gives you -3x ≤ -6.
  • Step 3: Now, divide both sides by -3. Remember, when you divide by a negative number, you must reverse the inequality sign. So, it becomes x ≥ 2.
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