Solve the inequality -4x + 8 ≤ 0. What is the solution?

Practice Questions

Q1
Solve the inequality -4x + 8 ≤ 0. What is the solution?
  1. x < 2
  2. x > 2
  3. x ≤ 2
  4. x ≥ 2

Questions & Step-by-Step Solutions

Solve the inequality -4x + 8 ≤ 0. What is the solution?
Correct Answer: x ≥ 2
  • Step 1: Start with the inequality -4x + 8 ≤ 0.
  • Step 2: To isolate the term with x, subtract 8 from both sides. This gives you -4x ≤ -8.
  • Step 3: Now, divide both sides by -4. Remember, when you divide by a negative number, you must flip the inequality sign. So, -8 divided by -4 becomes 2, and the inequality changes direction: x ≥ 2.
  • Step 4: The solution to the inequality is x ≥ 2.
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