Find the solution set for the inequality -x + 4 < 2.
Practice Questions
1 question
Q1
Find the solution set for the inequality -x + 4 < 2.
x > 2
x < 2
x > 4
x < 4
-x + 4 < 2 => -x < -2 => x > 2.
Questions & Step-by-step Solutions
1 item
Q
Q: Find the solution set 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. 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 < -2 becomes x > 2.
Step 5: The solution set is all values of x that are greater than 2.
