Q: Find the solution for the inequality: -x + 4 ≤ 2.
Solution: -x + 4 ≤ 2 => -x ≤ -2 => x ≥ 2.
Steps: 5
Step 1: Start with the inequality: -x + 4 ≤ 2.
Step 2: To isolate -x, subtract 4 from both sides: -x + 4 - 4 ≤ 2 - 4.
Step 3: This simplifies to: -x ≤ -2.
Step 4: Now, to solve for x, we need to get rid of the negative sign in front of x. Multiply both sides by -1. Remember, when you multiply or divide an inequality by a negative number, you must flip the inequality sign.
