Chapter SH, Problem 1.20EP

To determine

To solve: the given inequality. And graph the solution set on the number line.

Answer to Problem 1.20EP

  $x\le -1$ .

Explanation of Solution

Given:

The given inequality is $3x+8\le 5$ .

Calculation:

As the given inequality is $3x+8\le 5$ .

Now, solve the given inequality. Therefore,

  $\begin{array}{l}3x+8\le 5\left\{\text{given equation}\right\}\\ 3x+8-8\le 5-8\left\{\text{subtract}\text{boths}\text{sides}\text{by}8\right\}\\ 3x\le -3\left\{\text{simplify}\right\}\\ x\le \frac{-3}{3}\left\{\text{divide}\text{boths}\text{sides}\text{by}2\right\}\\ \therefore x\le -1\end{array}$

Now, draw the number line of the given inequality:

  

Hence, the solution of the given inequality is $x\le -1$ .