What is the inequality that represents the graph shown?

Question

asked Feb 12, 2022 218k views

1 Answer

Deduplicator · Answer 1 · 2022-02-16T15:30:36+0000

Given:

The graph of an inequality.

To find:

The inequality that represents the graph shown.

Solution:

From the given graph it is clear that the boundary line passes through the points (0,-1) and (2,0). So, the equation of boundary line is

y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)

y-(-1)=(0-(-1))/(2-0)(x-0)

y+1=(1)/(2)x

y=(1)/(2)x-1

The boundary line is a dashed line and the shaded portion is below the boundary line so the sign of inequality must be <.

y<(1)/(2)x-1

Therefore, the required inequality is
.