Question

Which system of inequalities is shown?
A y<x y>4 B y>x y​

Answer 1

Given:

The graph of the system of inequalities.

To find:

The system of inequalities.

Solution:

In the given graph, we have two dotted boundary lines.

First boundary line is passes through (-1,1), (0,0) and (1,1), so it represents a proportional relationship and the equation of this boundary line is

$y=x$

Second boundary line is a horizontal line passes through the point (0,4). So, the equation of this boundary line is

$y=4$

Shaded portion lies below these boundary line and these boundary lines are dotted. So, the sign of inequity must be <.

The system of inequalities is

$y<x$

$y<4$

Therefore, the correct option is D.