9
algebra

Which point satisfies y<2x+1y < 2x + 1, y>xy > -x, and x<2x < 2?

A

(1,1)(1, 1)

B

(3,0)(3, 0)

C

(0,1)(0, -1)

D

(1,4)(1, 4)

Correct Answer: A

Choice A is the correct answer. Test (1,1)(1, 1).

  1. y<2x+1y < 2x + 1: 1<2(1)+1=31 < 2(1) + 1 = 3 (True)
  2. y>xy > -x: 1>11 > -1 (True)
  3. x<2x < 2: 1<21 < 2 (True)
  4. Result: All true.

?�� Strategic Tip: Check the easiest constraint (x<2x < 2) first to eliminate options.

Choice B is incorrect becausex=3x=3 fails x<2x < 2. Choice C is incorrect because1>0-1 > 0 is false (y>xy > -x). Choice D is incorrect because4<34 < 3 is false (y<2x+1y < 2x + 1).