1
algebra

Which inequality represents the shaded region below the solid line y=12x3y = \frac{1}{2}x - 3?

A

y12x3y \leq \frac{1}{2}x - 3

B

y<12x3y < \frac{1}{2}x - 3

C

y12x3y \geq \frac{1}{2}x - 3

D

y>12x3y > \frac{1}{2}x - 3

Correct Answer: A

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

  1. Solid line: Inclusive (\leq or \geq).
  2. Below: Less than (\leq or <<).
  3. Combine: \leq

?�� Strategic Tip: "Below" always corresponds to << or \leq.

Choice B is incorrect because it implies a dashed line. Choice C is incorrect because it shades above. Choice D is incorrect because it shades above and implies a dashed line.