Question

When comparing the graphs of y = x and y > x, what is a difference in the graphs?
A.
An ordered pair solution that lies on y = x, is not a solution for y > x.
B.
An ordered pair solution that lies on y = x, is a solution for y > x.
C.
The graph of y = x rises from left to right, whereas the graph of y > x falls from left to right
D.
The graph of y = x rises from right to left, whereas the graph of y > x falls from right to left.

Answer 1

@Psymon Help Please

Answer 2

I'm currently in another problem, so I might bea bit slow x_x

Answer 3

:(

Answer 4

Well, it would be A. Here's why:
So if we graph both y = x AND y > x, the graph is basically the same. In terms of graphing, even though we have the > sign, we still graph it the same way.

Answer 5

Thanks!

Answer 6

Now the only difference was that I drew a dashed line for the 2nd graph. The first graph is y = x, the second y > x.
Now in terms of solutions, solutions for y = x are only points where x and y are the same. But for y > x, solutions are only for values where y is bigger than x, but NOT the same. If I have:
\[y \ge x\] I can say that the solution is all values of y that are the same as x or greater than x. But for y > x, I have to say that the solutions are all values of y greater than x, but not including x.
So main difference: y = x solutions are on the line, y > x solutions are all above the line. SO saying all that, answer A says a solution for y = x is not a solution for y > x. Well this is true because y > x means solutions have to be greater than x. SO this is why A is correct.

Answer 7

WOW . Thanks @Psymon !

Answer 8

Hopefully all of that makes sense then :3