These are sample practice MCQs created for exam preparation. These are NOT official exam questions.
x > 0. Quantity A: x² + 2x. Quantity B: 2x² + x.
Question:
x > 0. Quantity A: x² + 2x. Quantity B: 2x² + x.
x > 0. Quantity A: x² + 2x. Quantity B: 2x² + x.
Options
Answer: (D) The relationship cannot be determined from the information given
Explanation:
Consider difference: (2x² + x) − (x² + 2x) = x² − x = x(x − 1). If 0 < x < 1 → difference < 0 → A > B. If x > 1 → difference > 0 → B > A. If x = 1 → A = B. Relationship varies → cannot be determined.
Explanation:
Consider difference: (2x² + x) − (x² + 2x) = x² − x = x(x − 1). If 0 < x < 1 → difference < 0 → A > B. If x > 1 → difference > 0 → B > A. If x = 1 → A = B. Relationship varies → cannot be determined.
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