Solve each of the following in equations and represent the solution set on

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.

 

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