7
algebra

Which inequality represents the region strictly above y=2xy = 2x and strictly below y=2x+4y = 2x + 4?

A

2x<y<2x+42x < y < 2x + 4

B

2x>y>2x+42x > y > 2x + 4

C

y<2xy < 2x or y>2x+4y > 2x + 4

D

y>2xy > 2x and y>2x+4y > 2x + 4

Correct Answer: A

Choice A is the correct answer. Band between parallel lines.

  1. Above y=2xy=2x: y>2xy > 2x
  2. Below y=2x+4y=2x+4: y<2x+4y < 2x + 4
  3. Combine: 2x<y<2x+42x < y < 2x + 4

?�� Strategic Tip: This implies 2x<2x+42x < 2x+4, which simplifies to 0<40 < 4 (True).

Choice B is incorrect because it implies 0>40 > 4. Choice C is incorrect because it is outside the band. Choice D is incorrect because it is above both.