Q:

PLEASE HELPWhich graph represents the inequality y>3−x?

Accepted Solution

A:
First, we want to find y=3-x. For each graph, we can try values of y and x on the dotted line and see if they match up. The two functions on the left fit that. Next, we want to plug in values in the shaded portion in the top left and bottom left graphs to see if it's greater than or less than. If y>3-x, for example, when x=4 then 3-x=-1 and y would be greater than -1. In the top left graph, it shows that when x=4 then y would be less than -1 as y<-1 is shaded in. However, in the bottom left graph, it shows y as greater than -1 and that is therefore the answer.