Question

Solve the inequality: $3-2x>5$. Graph the solution set.

Short answer

The solution set is $\left\{x\right|x<-1\}$and graph is

Step-by-step solution

Step 1. Given Information 

In the given question we have to solve the inequality: $3-2x>5$and graph the solution set.

Step 2. The given inequality is 3-2x>5

Now solving the equation.

Subtract 3 on both side

$3-2x-3>5-3$

Simplify

$-2x>2$

Step 3. Divide by -2 and replace the inequality.

$$\begin{gathered} \frac{-2}{-2}x<\frac{2}{-2} \\ x<-1 \end{gathered}$$

The solution set is$\left\{x\right|x<-1\}$and interval notation is$(-\infty ,-1]$

Step 4. The interval notation is (-∞,-1]

The graph is