Chapter 4, Problem 39RE

To determine

To graph:

The solution of the following inequality equation:

  $\frac{2x-6}{1-x}<2$

Explanation of Solution

Given information:

  $\frac{2x-6}{1-x}<2$

Graph:

  

Interpretation:

The given equation is:

  $\begin{array}{l}\frac{2x-6}{1-x}<2\\ \frac{2x-6}{1-x}-2<0\\ 2x-6-2+2x<0\\ 4x-8<0\\ x=\frac{8}{4}\\ x=2\end{array}$

Hence, the solution set of the given equation is $x=2$