Question

Solve the inequality by using the graph of the function.

Solve $R\left(x\right)\ge 0$, where$R\left(x\right)=\frac{2x+4}{x-1}$

Short answer

The solution of the inequality is $(-\infty ,-2)\cup (1,\infty )$.

Step-by-step solution

Step 1. Given Information 

We are given a function,

$R\left(x\right)=\frac{2x+4}{x-1}$

Step 2. Graphing the function  

The graph of the function is as follows,

Step 3. Solution of the inequality  

As seen from the graph, $R\left(x\right)\ge 0$for $(-\infty ,-2)\cup (1,\infty )$.

Hence the solution is localid="1646282250156" $(-\infty ,-2)\cup (1,\infty )$.