Chapter 5.2, Problem 7E

For Problems 1-8, if necessary, review Section 1.2. Problems 5-8 refer to the following system of linear inequalities:

$\begin{array}{c}5x+y\le 32\\ 7x+4y\ge 45\\ x\ge 0\\ y\ge 0\end{array}$

Is the point $\left(6,2\right)$ in the solution region?