Chapter 12.3, Problem 7MRE

To determine

To calculate: The solution set for open sentence $3\sqrt{3p}=18$ and graph it.

Answer to Problem 7MRE

The solution set is $p=12$ . The graph is provided below,

Explanation of Solution

Given information:

The open sentence $3\sqrt{3p}=18$ .

Calculation:

Consider the open sentence $3\sqrt{3p}=18$ .

Divide both sides by 3,

  $\sqrt{3p}=6$

Square both the sides,

  $\begin{array}{c}{\left(\sqrt{3p}\right)}^2=6^2\\ 3p=6\end{array}$

Divide both sides by 3,

  $\begin{array}{c}{\left(\sqrt{3p}\right)}^2=6^2\\ 3p=36\\ p=12\end{array}$

The solution set is the single point 12 on real number line.

On the real number mark the point $p=12$ and darken the point.

Thus, the solution set is $p=12$ .