Question

The following graph shows the feasible region for which system of inequalities? Oy 0, < 4, and y21 Oy 0,2 > 4, and y 4,3 > 0, 4, and y < 1 OYS4,3 > 0,2 > 4, and y1

Answer 1

So,

From the graph, we can notice some facts:

- The graph is a rectangle which is limited by the lines: (except the last one)

`\begin{gathered} x=0 \\ x=4 \\ y=1 \\ y=4 \end{gathered}`

All the points inside the rectangle are greater than the line x=0 but less than the line x=4. So, our first inequalities are:

`\begin{gathered} x\ge0 \\ x\leq4 \end{gathered}`

Now, notice that all the points inside the rectangle are above the line y=1 and under the line y=4. (As you look, it is a dotted line so it is not included)

Then, the other inequalities are:

`\begin{gathered} y\ge1 \\ y<4 \end{gathered}`

So, the correct answer is the first one.