Set 6: Quadratic Equations (Advanced)

Explanation

Answer: A

Solve: $2x^2 \geq 8$

$x \geq 2$ or $x \leq -2$

✓ Correct

$-2 \leq x \leq 2$

$x \geq 4$

$x \geq 2$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. Divide by 2: $x^2 \geq 4$ . 2. Square root property: $|x| \geq 2$ . 3. This splits into two cases: $x \geq 2$ or $x \leq -2$ . Choice B is incorrect because that is for $x^2 \leq 4$ . Choice C is incorrect. Choice D is incorrect because it misses the negative part.

Key Steps:

•

The correct answer is $x \geq 2$ or $x \leq -2$

Why others are wrong:

B: Choice B is incorrect and may result from a calculation error.

C: Choice C is incorrect and may result from a calculation error.

D: Choice D is incorrect and may result from a calculation error.

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