Find the solution set for the inequality -x + 5 < 2.
Practice Questions
Q1
Find the solution set for the inequality -x + 5 < 2.
x > 3
x < 3
x ≥ 3
x ≤ 3
Questions & Step-by-Step Solutions
Find the solution set for the inequality -x + 5 < 2.
Correct Answer: x > 3
Step 1: Start with the inequality -x + 5 < 2.
Step 2: To isolate -x, subtract 5 from both sides: -x + 5 - 5 < 2 - 5.
Step 3: This simplifies to -x < -3.
Step 4: Now, to solve for x, we need to get rid of the negative sign in front of x. Multiply both sides by -1. Remember, when you multiply or divide an inequality by a negative number, you must flip the inequality sign.
Step 5: So, -x * -1 > -3 * -1, which gives us x > 3.
Inequalities – Understanding how to manipulate and solve linear inequalities.
Reversing Inequalities – Recognizing that multiplying or dividing by a negative number reverses the inequality sign.
