Chapter 3.3, Problem 11PPE

To determine

Thegiven inequality then to graph and check the solution.

Answer to Problem 11PPE

The solution is $v\le -3$

Explanation of Solution

Given information:

The giveninequality is $-\frac{v}{2}\ge 1.5$

Calculation:

Solve the inequality $-\frac{v}{2}\ge 1.5$

  $\begin{array}{l}-\frac{v}{2}\ge 1.5\\ -v\ge 2(1.5)\\ -v\ge 3\\ v\le -3\text{ solution}\end{array}$

The graph of the solution of the inequality is shown below.

  

The closed circle represents the solution including the point $2$

The shaded values are the solution of the given inequality.

Verify the solution

  $\begin{array}{l}-\frac{v}{2}\ge 1.5\\ -\frac{-4}{2}\ge 1.5v=-4\\ 2\ge 1.5\text{ true}\end{array}$

Hence,

The solution is $v\le -3$