Answer
The person is not within the healthy weight region.
Work Step by Step
6 feet =72 inches.
The person corresponds to the point (72,205).
The question, restated, is:
"Is (72,205) a part of the solution set?"
We test whether the coordinates of (72,205)
satisfy BOTH inequalities.
Inequality 1:
$5.3(72)-205 \geq 180\quad?$
$176.6 \geq 180\quad?$
No.
There is no need to test the second inequality, since (72,205) should satisfy BOTH inequalities to be a solution.
So, (72,205) is not a solution, meaning that
the person is not within the healthy weight region.