Question:
Solve each of the following in equations and represent the solution set on the number line.
$\frac{|x-3|}{x-3}<0, x \in \mathbf{R}$
Solution:
Given:
$\frac{|x-3|}{x-3}<0, x \in R$
$|x-3|<0$
The above condition can’t be true because the absolute value cannot be less than 0
Therefore
There is no solution for x є R.