Question: If -x + 6 > 2, what is the solution for x?
Options:
x < 4
x > 4
x < 6
x > 6
Correct Answer: x > 4
Solution:
Step 1: Subtract 6 from both sides: -x > -4. Step 2: Multiply by -1 (reverse inequality): x < 4.
If -x + 6 > 2, what is the solution for x?
Practice Questions
Q1
If -x + 6 > 2, what is the solution for x?
x < 4
x > 4
x < 6
x > 6
Questions & Step-by-Step Solutions
If -x + 6 > 2, what is the solution for x?
Step 1: Start with the inequality -x + 6 > 2.
Step 2: Subtract 6 from both sides to isolate the term with x. This gives you -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 reverse the inequality sign.
Step 5: This gives you x < 4.
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 performing algebraic operations such as addition, subtraction, multiplication, and division to isolate the variable.
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