Determine the solution for the inequality 6 - x ≤ 3.
Practice Questions
1 question
Q1
Determine the solution for the inequality 6 - x ≤ 3.
x ≥ 3
x ≤ 3
x ≥ 6
x ≤ 6
6 - x ≤ 3 => -x ≤ -3 => x ≥ 3.
Questions & Step-by-step Solutions
1 item
Q
Q: Determine the solution for the inequality 6 - x ≤ 3.
Solution: 6 - x ≤ 3 => -x ≤ -3 => x ≥ 3.
Steps: 4
Step 1: Start with the inequality: 6 - x ≤ 3.
Step 2: To isolate -x, subtract 6 from both sides: -x ≤ 3 - 6.
Step 3: Simplify the right side: -x ≤ -3.
Step 4: To solve for x, multiply both sides by -1. Remember, when you multiply or divide by a negative number, you must flip the inequality sign: x ≥ 3.
