Question

Solve the inequality by using the graph of the function.

Solve $R\left(x\right)\le 0$, where$R\left(x\right)=\frac{3x+3}{2x+4}$

Short answer

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

Step-by-step solution

Step 1. Given Information 

We are given a function,

$R\left(x\right)=\frac{3x+3}{2x+4}$

Step 2. Graphing the function  

The graph of the function is as follows,

Step 3. Solution of the inequality  

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

Hence the solution is $(-2,-1)$.