Question

The graph below shows the solution to which system of inequalities?A. x< 1 and y2 xB. ys 1 and y>xC. x≤ 1 and y> xD. y< 1 and y2

Answer 1

To answer this question let's look at each line first.

The slant line can be express by the equation:

$y=x$

We notice that the shaded part is above this line, then we have that that inequality is written as:

$y\ge x$

Now, the horizontal line is express as:

$y=1$

since the shaded region is below that line and the line is dashed the inequality is:

$y<1$

Therefore, the system of inequalities is:

$\begin{gathered} y\ge x \\ y<1 \end{gathered}$