7
advanced-math

Solve: 2x2≥82x^2 \geq 8

A

x≥2x \geq 2 or x≤−2x \leq -2

B

−2≤x≤2-2 \leq x \leq 2

C

x≥4x \geq 4

D

x≥2x \geq 2

Correct Answer: A

Choice A is the correct answer.

  1. Divide by 2: x2≥4x^2 \geq 4.
  2. Square root property: ∣x∣≥2|x| \geq 2.
  3. This splits into two cases: x≥2x \geq 2 or x≤−2x \leq -2.

Choice B is incorrect because that is for x2≤4x^2 \leq 4. Choice C is incorrect. Choice D is incorrect because it misses the negative part.

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Set 14: Quadratic Equations and Functions 14