Chapter 6.2, Problem 37SR

To determine

To solve: the given inequality and then to graph the solution set..

Explanation of Solution

Given information:

The inequality $\left|\frac{2g+3}{2}\right|>-7$

Calculation:

Consider $\left|\frac{2g+3}{2}\right|>-7$

The absolute value is always positive and it is always greater than or equal to zero.

Here the given inequality is true for all values of x.

Hence, the solution set is $(-\infty ,\infty )$

Graph:

The graph of solution set of the inequality $\left|\frac{2g+3}{2}\right|>-7$ is shown below.

  

Hence, The shaded region is the solution of the given inequality.