SOLUTION: The steps below supposedly solve the inequality x/(x &#8722; 2) > 2. x > 2(x &#8722; 2) x > 2x &#8722; 4 &#8722;x > &#8722;4 Solution: x < 4 It appears that all number

Algebra ->  Inequalities -> SOLUTION: The steps below supposedly solve the inequality x/(x &#8722; 2) > 2. x > 2(x &#8722; 2) x > 2x &#8722; 4 &#8722;x > &#8722;4 Solution: x < 4 It appears that all number      Log On


   

Question 189807: The steps below supposedly solve the inequality x/(x − 2) > 2.

x > 2(x − 2)
x > 2x − 4
−x > −4
Solution: x < 4
It appears that all numbers less than 4 are solutions.

Give an example of a number less than 4 that is not a solution.

Why don't the steps shown give the correct solution?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
x/(x − 2) > 2.
x>2(x-2)
x>2x-4
-x>-4
x<4 when multiplying or dividing each side by a negative you must reverse the inequality sign.
.
Ed