What is the solution set for the inequality -x + 6 > 0?
Practice Questions
1 question
Q1
What is the solution set for the inequality -x + 6 > 0?
x < 6
x > 6
x < 0
x > 0
-x + 6 > 0 => -x > -6 => x < 6.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the solution set for the inequality -x + 6 > 0?
Solution: -x + 6 > 0 => -x > -6 => x < 6.
Steps: 4
Step 1: Start with the inequality -x + 6 > 0.
Step 2: To isolate -x, subtract 6 from both sides. This gives you -x > -6.
Step 3: Now, to solve for x, you need to get rid of the negative sign in front of x. Multiply both sides of the inequality by -1. Remember, when you multiply or divide an inequality by a negative number, you must flip the inequality sign. So, -x > -6 becomes x < 6.
Step 4: The solution set is all values of x that are less than 6.
