SOLUTION: 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 number
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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) (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
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