Explanation for Question 14 From the Math (No Calc) Section on the 2017 October Sat
Question 14 asks in which of the following does the shaded region represent 2 the solution set and the X, Y plane to the system of inequalities above? 3 So the first thing we need to do is find where this inequality, 4 Jim circling in pink is true. 5 So when is Y greater than or equal to X plus two? 6 Well, this line right here is the X plus two line. 7 So that's anything above that. I'm going to shade this area in pink. 8 Next, we need to find what the second inequality is. 9 This one right here in blue. So first I'm going to get Y by 10 itself on one side. So I'm going to subtract 11 two X from both sides. And that gives us three, 12 Y is less than or equal to negative two X plus six. 13 And then I'm going to divide both sides by three to get Y is 14 less than or equal to negative two thirds X plus 15 two. Now this line right here is negative two thirds, 16 X plus two, and we need to highlight wherever Y is less than that. 17 So that's here in this bottom area, 18 which means that the answer is where these two highlighted areas overlap. 19 And that's right here in this section, 20 which means that B is the correct answer.