Chapter 11.5, Problem 10CFU

To determine

To graph: The inequality $y\le \log \left(x+3\right)$ .

Answer to Problem 10CFU

The graph of the inequality $y\le \log \left(x+3\right)$ is shown in figure (1).

Explanation of Solution

Given:

The inequality is $y\le \log \left(x+3\right)$

Calculation:

Take test point $\left(0,0\right)$ in the given inequality.

  $\begin{array}{c}0\le \log \left(0+3\right)\\ \le \log \left(3\right)\\ \le 0.477\end{array}$

Therefore, the above equation satisfy the region contain $\left(0,0\right)$ .

Plot the graph of the inequality $y\le \log \left(x+3\right)$ as follows.

  

Figure (1)

Therefore, the graph of the inequality $y\le \log \left(x+3\right)$ is shown in figure (1).