Answer
The person is not within the healthy weight region.
Work Step by Step
5 feet 8 inches =60 + 8 inches = 68 inches.
The person corresponds to the point (68,135).
The question, restated, is:
"Is (68,135) a part of the solution set?"
We test whether the coordinates of (68,135)
satisfy BOTH inequalities.
Inequality 1:
$5.3(68)-135 \geq 180\quad?$
$225.4 \geq 180\quad?$
Yes.
Inequality $2$:
$4.1(68)-135 \leq 140\quad?$
$143.8 \leq 140\quad?$
No.
So, (68,135) is not a solution, meaning that
the person is not within the healthy weight region.