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 68 \[\left( \left( 5\times 12 \right)+8 \right)\] inches tall weighing 135 pounds.
Substitute\[x=68\] and\[y=135\], in the above system,
\[\left\{ \begin{align}
& 225.4\ge 180 \\
& 143.8\le 140 \\
\end{align} \right.\]
Since Equation 2 in the system is false.
So, the provided parameters of a person do not satisfy the system, It is not within healthy weight region.
It can also be seen from the graph that its location is outside the region.
