Set 6: Quadratic Equations (Intermediate)

Explanation

Answer: A

Solve: $x^2 - 5x + 6 \leq 0$

$2 \leq x \leq 3$

✓ Correct

$x \leq 2$ or $x \geq 3$

$2 < x < 3$

$x \leq 3$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. Factor: $(x - 2)(x - 3) \leq 0$ . 2. Roots: 2 and 3. 3. Parabola opens upward, so it is negative between the roots. 4. Solution: $2\leq x \leq 3$ . Choice B is incorrect. Choice C is incorrect because it excludes endpoints. Choice D is incorrect.

Key Steps:

•

The correct answer is $2\leq x \leq 3$

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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