Determine the solution for the inequality 6 - x > 2.
Practice Questions
1 question
Q1
Determine the solution for the inequality 6 - x > 2.
x < 4
x > 4
x < 6
x > 6
6 - x > 2 => -x > -4 => x < 4.
Questions & Step-by-step Solutions
1 item
Q
Q: Determine the solution for the inequality 6 - x > 2.
Solution: 6 - x > 2 => -x > -4 => x < 4.
Steps: 4
Step 1: Start with the inequality: 6 - x > 2.
Step 2: To isolate -x, subtract 6 from both sides: -x > 2 - 6.
Step 3: Simplify the right side: -x > -4.
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 < 4.
