Question

On a piece of paper, graph y-3>2x+2

Answer 1

Hello there!

The correct answer is option C


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Answer 2

The correct option is:

Graph C

Explanation:

We are asked to graph the inequality:

`y-3>2x+2`

on simplifying this inequality we get:

`y>2x+2+3\\\\\\i.e.\\\\\\y>2x+5`

( 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 )