Answer: Choice A. (0,0)
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Step-by-step explanation:
Let's check if choice C is the answer or not
We will plug in x = -2 and y = 1 into the inequality to get
y - 3x < 1
1 - 3(-2) < 1
1 + 6 < 1
7 < 1
That's a false statement since 7 is not smaller than 1. This means the first inequality is false when (x,y) = (-2,1). So we can rule out choice C. Choices B and D are similar stories.
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It turns out that choice A is the answer because
y - 3x < 1
0 - 3(0) < 1
0 - 0 < 1
0 < 1
Which is a true statement. So (x,y) = (0,0) is one solution to this inequality.
I'll let you check the other answer choices. You should find them to be false