Determine the solution for the inequality 6 - x > 2.
Practice Questions
Q1
Determine the solution for the inequality 6 - x > 2.
x < 4
x > 4
x < 6
x > 6
Questions & Step-by-Step Solutions
Determine the solution for the inequality 6 - x > 2.
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.
Inequalities – Understanding how to manipulate and solve inequalities, including the rules for reversing the inequality sign when multiplying or dividing by a negative number.
Algebraic Manipulation – Skills in rearranging equations and isolating variables to find solutions.
