Can we divide two terms in finding solution for Linear Inequalities?Solve the following inequality. | x − 2 | x − 2 &gt; 0If x is greater than or equal to 2, it becomes: x − 2 x − 2 &gt; 0, which can become 1 &gt; 0, which is true for all x &gt; 2 for when x = 2,its value will become undefined. Is my solution correct?

Question

Can we divide two terms in finding solution for Linear Inequalities?Solve the following inequality.                    |            x      −      2              |                    x      −      2        &amp;gt;  0If x is greater than or equal to 2, it becomes:             x      −      2              x      −      2        &amp;gt;  0, which can become   1  &amp;gt;  0, which is true for all   x  &amp;gt;  2 for when   x  =  2,its value will become undefined. Is my solution correct?

Giancarlo Callahan · Accepted Answer

Just three cases:  x  &amp;gt;  2 gives   1  &amp;gt;  0, which is true.  x  &amp;lt;  2 gives   −  1  &amp;gt;  0, which is wrong and  x  =  2, which is impossible.After all these things we got the answer:   (  2  ,  +  ∞  )

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

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