Determine the solution for the inequality 6 - x ≤ 3.
Practice Questions
Q1
Determine the solution for the inequality 6 - x ≤ 3.
x ≥ 3
x ≤ 3
x ≥ 6
x ≤ 6
Questions & Step-by-Step Solutions
Determine the solution for the inequality 6 - x ≤ 3.
Correct Answer: x ≥ 3
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.
Inequalities – Understanding how to manipulate and solve inequalities, including reversing the inequality sign when multiplying or dividing by a negative number.
Algebraic Manipulation – Skills in rearranging equations and isolating variables to find solutions.
