Chapter 12, Problem 7CCSR

To determine

To find: the graph which represent the solution of the inequality equation and write it on the paper.

Answer to Problem 7CCSR

The option $\text{B}$ is correct option.

Explanation of Solution

Given:

  $-3\text{<x+}3\le 7$ .

The options are:

  

Concept used:

The graph shows highlighted dotted which mean a number is included whereas other incircle dotted with void which means the number is excluded.

For example:

  

In this above graph the $-3$ is excluded and $4$ is included which can be written as: $\left(-3,4\right]$ .

Calculation:

Subtract $3$ To solve for the Inequality:

  $\begin{array}{l}-3\text{<x+}3\le 7\\ \Rightarrow -3-3\text{<x+}3-3\le 7-3.\\ \Rightarrow -6\text{<x}\le 4.\end{array}$

Here from the graph shows highlighted dotted which mean a number is included whereas other incircle dotted with void which means the number is excluded.

the equation can write as $\left(-6,4\right]$ .

Therefore, the correct graph for the equation will be option number $\text{B}$ .

Hence, option $\text{B}$ is correct option.