STEP - BY - STEP SOLUTION
The graph that represents the given inequality.
Given:
[tex]y>3-x[/tex]
Observe that the inequality is ">", this implies that the graph is dotted and it is shaded above.
Now, let's determine the a and y-intercept of the graph.
Suppose y = 3-x
Put x = 0 to detemine the y-intercept.
[tex]\begin{gathered} y=3-0 \\ y=3 \end{gathered}[/tex]
Hence, the y-intercept is 3.
Put y=0 into determine the x- intercept.
[tex]\begin{gathered} 0=3-x \\ \\ x=3 \end{gathered}[/tex]
Hence, the x- intercept is 3.
Since (0, 3) and (3, 0) is the y and x-intercept respectively, this implies the graph will cut the y- axis at 3 and also cut the x - axis as 3.
We can now proceed to identify the graph.
ANSWER
