4
QuizMultiple Choice

Graph Linear Inequalities

Question 4 • FL-1200310-Algebra 1 B-CR

When comparing the graphs of y = x and y > x, what is a difference in the graphs?

Answer
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.

Explanation

The graph of y = x consists of points where the y-coordinate equals the x-coordinate, such as (2, 2). The inequality y > x requires the y-coordinate to be strictly greater than the x-coordinate, so a point on the line y = x does not satisfy it. Therefore, the correct choice is A: an ordered pair on y = x is not a solution to y > x.

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