Question

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

\(\frac{|{\text{x}} -3|}{{\text{x}} -3}\) < 0, x ϵ R.

Answer 1

\(\frac{|{\text{x}} -3|}{{\text{x}} -3}\) < 0 , x ϵ 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.