Can we divide two terms in finding solution for Linear Inequalities? Solve the following inequality. (|x-2|)/(x-2)>0

profesorluissp 2022-09-14 Answered
Can we divide two terms in finding solution for Linear Inequalities?
Solve the following inequality.
| x 2 | x 2 > 0
If x is greater than or equal to 2, it becomes: x 2 x 2 > 0, which can become 1 > 0, which is true for all x > 2 for when x = 2,its value will become undefined. Is my solution correct?
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Answers (1)

Giancarlo Callahan
Answered 2022-09-15 Author has 12 answers
Just three cases:
x > 2 gives 1 > 0, which is true.
x < 2 gives 1 > 0, which is wrong and
x = 2, which is impossible.
After all these things we got the answer: ( 2 , + )

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