Chapter 2.1, Problem 33E

To determine

To graph:

Inequality for given function.

Explanation of Solution

Given information:

  $v<-4$

Graph:

Interpretation:

Now, replace the symbol with quality symbol to get the equation of the line $v=-4$ .

Hence, the line $v=-4$ passes through the $\left(-4,-10\right)$ and $\left(-4,10\right)$ .

Using the points to draw the equation of the line $v=-4$ as, the inequality $v\le -4$ contains the $\le$ symbol so draw the solid line for the equation.

Now, select the test point on the line $v=-4$ so take $\left(0,0\right)$ as the test point below the line

Hence,

  $\begin{array}{l}v\le -4\\ 0\le -4\end{array}$

Since, the inequality $0\le -4$ Is false so the solution set is the half plane left side of the solid line $v=-4$ .