Answer
No
Work Step by Step
Model of the healthy weight region given by the following system of linear inequalities, where x represents height, in inches, y represents weight, in pounds.
\[\left\{ \begin{align}
& 5.3x-y\ge 180 \\
& 4.1x-y\le 140 \\
\end{align} \right.\]
A person is 72=\[\left( 6\times 12 \right)\] inches tall weighing 205 pounds.
Substitute\[x=72\] and\[y=205\] values in the above system,
\[\left\{ \begin{align}
& 176.6\ge 180 \\
& 90.2\le 140 \\
\end{align} \right.\]
Since Equation 1 in the system is false.
So, the provided parameters of a person don’t satisfy the system,it is not within healthy weight region.
This can also be seen from the graph that its location is outside the region.
