1

Set 1: Linear Inequalities (Advanced)

Explanation

Answer: A

Which point is a solution to the system: y>xy > x and y<x+4y < -x + 4?

A.

(1,2)(1, 2)

✓ Correct
B.

(2,2)(2, 2)

C.

(3,1)(3, 1)

D.

(0,5)(0, 5)

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Test the point (1,2)(1, 2). 1. Check y>xy > x: 2>12> 1 (True) 2. Check y<x+4y < -x + 4: 2<1+42<32< -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>22> 2 is false. Choice C is incorrect because 1>31> 3 is false. Choice D is incorrect because 5<45< 4 is false.

Key Steps:

The correct answer is (1,2)(1, 2)

Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

🎯 Keep Practicing!

Master all sections for your best SAT score