Question -
Answer -
Given:
|x тАУ 2| / (x тАУ 2) > 0
Clearly it states, xтЙа2 so two case arise:
Case1: xтАУ2>0
x>2
In this case |xтАУ2| = x тАУ 2
x ╧╡ (2, тИЮ)тАж.(1)
Case 2: xтАУ2<0
x<2
In this case, |xтАУ2|= тАУ (xтАУ2)
тАУ (x тАУ 2) / (x тАУ 2) > 0
тАУ 1 > 0
Inequality doesnтАЩt get satisfy
This case gets nullified.
тИ┤ x тИИ (2, тИЮ) from (1)