Question 9 Answer & Explanation - SAT Algebra

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algebra

Which statement is true about the system $y > 2x$ and $y < 2x - 4$ ?

It has no solution.

The solution is a strip between lines.

The solution is the entire plane.

It has exactly one solution.

Correct Answer: A

Choice A is the correct answer. Analyze geometry.

Lines: Parallel ( $m=2$ ).
Regions: Above the top line ( $y > 2x$ ) vs Below the bottom line ( $y < 2x - 4$ ). Note: $2x > 2x-4$ , so $y=2x$ is above $y=2x-4$ .
Overlap: None.

?�� Strategic Tip: Sketching quickly reveals disjoint regions.

Choice B is incorrect because that would be $2x-4 < y < 2x$ . Choice C is incorrect.Choice D is incorrect.

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