Question

Which system of inequalities is shown?

Answer 1

A

`\left\{\begin{array}{l}y>2\\ \\y<x\end{array}\right.`

Explanation:

The diagram shows two dotted lines, so two inequalities must be with sigh < or >.

The first line is horizontal line that passes through the point (0,2), so its equation is y=2. You need to take upper part (as the diagram shows shaded upper part), so the first inequality is y > 2.

The second line is I and III quadrants bisector, so its equation is y = x. You should take the below part. Hence, the second inequality is y < x

Thus, the system of two inequalities is

`\left\{\begin{array}{l}y>2\\ \\y<x\end{array}\right.`