7
algebra

Which point satisfies x+y<5x + y < 5 and xy>2x - y > 2?

A

(3,0)(3, 0)

B

(2,2)(2, 2)

C

(0,0)(0, 0)

D

(4,2)(4, 2)

Correct Answer: A

Choice A is the correct answer. Test the points.

  1. Test (3, 0):

    • 3+0<53 + 0 < 5 (True)
    • 30>23 - 0 > 2 (True)
    • Both true.
  2. Test (2, 2): 2+2<52+2 < 5 (True), 22>22-2 > 2 (False).

  3. Test (0, 0): 0+0<50+0 < 5 (True), 00>20-0 > 2 (False).

  4. Test (4, 2): 4+2<54+2 < 5 (False).

?�� Strategic Tip: Plug and chug is often faster than graphing for single point questions.

Choice B is incorrect.Choice C is incorrect.Choice D is incorrect.