Question

Which system of linear inequalities is represented by the
graph?

Answer 1

I can’t see it clearly but so far the answer is D. Hope this helps!

Answer 2

The system of linear inequalities which is represented by the graph is:

y>x-2 and y<x+1

Explanation:

The first inequality--

It is a dotted line which passes through (-1,0) and (0,1) and the shaded region is below the line.

first we find the equation of line:

The equation of a line passing through (a,b) and (c,d) is given by:

`y-b=(d-b)/(c-a)* (x-a)`

Hence,

(a,b)=(-1,0) and (c,d)=(0,1)

Hence, the equation of line is:

`y-0=(1-0)/(0-(-1))* (x-(-1))\\\\i.e.\\\\y=(1)/(1)* (x+1)\\\\i.e.\\\\y=x+1`

Also, the inequality is strict since the line is dotted.

Hence, the inequality is given by: y<x+1

The second inequality --

is a dotted line which passes through (0,-2) and (2,0)

and the shaded region is above the line.

The equation of line is given by:

y=x-2

and the inequality is strict.

Hence, the inequality is given by:

y>x-2