Solve the inequality 4 - x ≤ 2.

Practice Questions

Q1
Solve the inequality 4 - x ≤ 2.
  1. x ≥ 2
  2. x ≤ 2
  3. x > 2
  4. x < 2

Questions & Step-by-Step Solutions

Solve the inequality 4 - x ≤ 2.
Correct Answer: x ≥ 2
  • Step 1: Start with the inequality 4 - x ≤ 2.
  • Step 2: To isolate -x, subtract 4 from both sides. This gives you -x ≤ 2 - 4.
  • Step 3: Simplify the right side. 2 - 4 equals -2, so now you have -x ≤ -2.
  • Step 4: To solve for x, multiply both sides of the inequality by -1. Remember, when you multiply or divide by a negative number, you must flip the inequality sign. So, -x becomes x, and -2 becomes 2, giving you x ≥ 2.
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