Find the solution set for the inequality -x + 5 ≤ 2.
Practice Questions
1 question
Q1
Find the solution set for the inequality -x + 5 ≤ 2.
x ≥ 3
x ≤ 3
x ≥ 5
x ≤ 5
-x + 5 ≤ 2 => -x ≤ -3 => x ≥ 3.
Questions & Step-by-step Solutions
1 item
Q
Q: Find the solution set for the inequality -x + 5 ≤ 2.
Solution: -x + 5 ≤ 2 => -x ≤ -3 => x ≥ 3.
Steps: 5
Step 1: Start with the inequality -x + 5 ≤ 2.
Step 2: To isolate -x, subtract 5 from both sides of the inequality. This gives you -x ≤ 2 - 5.
Step 3: Simplify the right side. 2 - 5 equals -3, so now you have -x ≤ -3.
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. This changes -x to x and -3 to 3, giving you x ≥ 3.
