Set 9: Linear Inequalities (Intermediate)

Choice D is correct. Choice D is the correct answer. Test points in both inequalities. 1. Test (4, 1): - $1< 2(4) \rightarrow 1 < 8$ (True) - $1> -4 + 3 \rightarrow 1 > -1$ (True) - Both true $\rightarrow$ Solution. 2. Test (2, 2): $2< 4$ (True), $2> -2 + 3 \rightarrow 2 > 1$ (True). Wait. $(2,2)$ works too? - $y < 2 x$: $2< 4$ (True) - $y > -x + 3$: $2> -2 + 3 = 1$ (True) - Both work. I need to adjust the question or options. - $1< 2$ (True) - $1> -1 + 3 = 2$ (False) Correction: Choice D is correct. Choice A (modified) is incorrect. Choice B is incorrect ($0> 3$ is false). Choice C is incorrect ($4< 2$ is false).