1
algebra

Which graph correctly represents the solution to x2x \geq -2?

A

Open circle at -2, shading to the left

B

Closed circle at -2, shading to the right

C

Open circle at -2, shading to the right

D

Closed circle at -2, shading to the left

Correct Answer: B

Choice B is the correct answer. Graphing inequalities on a number line requires understanding symbols and shading.

  1. Symbol interpretation: \geq means "greater than or equal to", so include -2 itself (closed circle)
  2. Direction: "Greater than" means values to the right on the number line
  3. Result: Closed circle at -2, shading right

?�� Strategic Tip: Use closed circles for \leq or \geq (includes the value), open circles for << or >> (excludes the value).

Choice A is incorrect because it uses an open circle (excluding -2) and shades left (less than), both wrong. Choice C is incorrect because while it shades right (correct direction), it uses an open circle, excluding -2. Choice D is incorrect because it has a closed circle (correct) but shades left, representing x2x \leq -2 instead.