Question

Which of the following shows the graph of the inequality y > x + 3?

Answer 1

y = x+3 will divide the x-y plane into 2 parts :
one part will represent y>x+3
and the other part will represent y<x+3
You can easily check which is which by taking any arbitrary value in any one plane and see which condition it satisfies.
So the trick is to find which graph is divided by a line that satisfies y =x+3 and then test a point in one of the parts

Answer 2

How would I do that?

Answer 3

Can you see that in each of the graphs there is a line that separates pink from the white?

Answer 4

Yes.

Answer 5

Do you know how to draw line segments on graph?

Answer 6

from the equation?

Answer 7

No.

Answer 8

If not then simply take a couple of points on each line : check if they satisfy the equation y = x+3
For example in your first attachment I take a point on the line where x =0 and y=3 and I will see if it satisfies the above equation.
LHS ->y=3
RHS->x+3=0+3
Then I take another point and I do the same. If two points satisfy the equation, then that line should represent the equation

Answer 9

On the same graph you can take another point where y=0 and x=-3

Answer 10

Would it be the last graph?

Answer 11

Yeah you are right

Answer 12

Thanks!

Answer 13

You are welcome :)