Which graph represents the inequality y> 3−x?

The required graph that represents the inequality y>3−x is the graph C

In order to know which graph represents the inequality, Firrst we need to plot the line of the function y = 3 - x where;

m is the slope = --1

b is the y-intercept = 3

Since the coordinate of the y-intercept is (0, 3) cuts the y axis at 3, hence the two possible graphs are graph A and graph C.In order to determine the exact graph, we will need to consider the inequality sign. Since the sign is "greater than", the line will be a broken line and the upper part of the graph will be shaded.

Hence the required graph that represents the inequality y>3−x is the graph C

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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.