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

The difference in the graphs of y=x and y> x is:

Option: A

A. An ordered pair solution that lies on y = x, is not a solution for y > x.

Explanation:

We know that the the solution set of the equation:

y=x

is the set of all the points or the ordered pair that lie on that line.

whereas the solution set of the inequality :

y>x

is the set of all the ordered pairs that lie above the line of y=x and not including the points on the line since the inequality is strict.

Hence, both the graphs do not have a common solution.

Hence, the answer is:

Option: A

Answer 2

The correct answer is letter "A.. An ordered pair solution that lies on y = x, is not a solution for y > x." 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.