10
algebra

Which inequality represents the shaded region on a coordinate plane above the line y=2x1y = 2x - 1?

A

y>2x1y > 2x - 1

B

y<2x1y < 2x - 1

C

y2x1y \geq 2x - 1

D

y2x1y \leq 2x - 1

Correct Answer: A

Choice A is the correct answer. Interpret the shading and line type.

  1. "Above": Shading above the line corresponds to >> or \geq.
  2. "Strictly above": Usually implies a dashed line (though not specified, "above" usually means >>). If the line were included, it would say "on or above". Let's assume strict inequality for "above".
  3. Result: y>2x1y > 2x - 1

?�� Strategic Tip:y>...y > ... shades up/above. y<...y < ... shades down/below.

Choice B is incorrect because it shades below. Choice C is incorrect because it includes the line (\geq), which is "at or above". Without "dashed/solid" info, A is the safest bet for "above". Choice D is incorrect because it shades below.