Question

x-1/x-2>0 ,x≠2 why???​

Answer 1

$\frac{x - 1}{x - 2} > 0$

Suppose 'x=2'

$\implies \frac{2 - 1}{2 - 0 } > 0$

$\implies \frac{1}{0} > 0$

Anything when its divided by '0' it becomes undefined.So its impossible to be greater than '0'.Therefore the inequation becomes undefined at 'x=2'.So we must exclude this value.So its mathematically represented as x≠2.

But still we can try to find the value of inequation when 'x' tends to 2.By using limits.

HOPE THAT HELPS!!