Choice A is the correct answer. Test the point $(1, 2)$.

1. Check $y > x$: $2 > 1$ (True)
2. Check $y < -x + 4$: $2 < -1 + 4 \rightarrow 2 < 3$ (True)
3. Result: Both true.

?�� Strategic Tip: The solution region is the intersection of the two half-planes.

Choice B is incorrect because$2 > 2$ is false. Choice C is incorrect because$1 > 3$ is false. Choice D is incorrect because$5 < 4$ is false.