Question

Solve the inequality $3x+2\le 5x-1$and graph the solution set.

Short answer

The solution of the inequality is$x\ge \frac{3}{2}$

The graph can be given as

Step-by-step solution

Given information

We are given an inequality$3x+2\le 5x-1$

Simplify

On simplifying we get

$$\begin{gathered} 3x+2\le 5x-1 \\ -2x+3\le 0 \end{gathered}$$

Find the value of x

We get,

$$\begin{gathered} -2x+3\le 0 \\ 2x-3\ge 0 \\ x\ge \frac{3}{2} \end{gathered}$$

Plot the graph

The graph can be given as