Answer:
The correct option is:
Graph C
Step-by-step explanation:
We are asked to graph the inequality:
[tex]y-3>2x+2[/tex]
on simplifying this inequality we get:
[tex]y>2x+2+3\\\\\\i.e.\\\\\\y>2x+5[/tex]
( since we add 3 on both side of the inequality)
Now we know that the graph of this inequality will be a dotted straight line ( the line is dotted since the inequality is strict) and it passes through (0,5) and (-2.5,0) and (-3,-1) and the shading is away from the origin.
( since we consider y=2x+5
and when x=0 we have y=5
and when y=0 we have x= -5/2=-2.5
Also, when x= -3 we get:
y=2×(-3)+5
i.e. y= -1
The shading is away from origin because it fails the zero point test.
when x=y=0 then
5<0
which is not correct )
