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For positive numbers a, b: AM-GM inequality states:
ANo relation
BAM = GM
CAM ≤ GM
DAM ≥ GM (with equality only when a = b); (a+b)/2 ≥ √(ab)
Answer & Solution
Correct answer: D. AM ≥ GM (with equality only when a = b); (a+b)/2 ≥ √(ab)
AM-GM: (a+b)/2 ≥ √(ab) for a,b ≥ 0. Equality iff a = b. Generalizes to n numbers: (a₁+a₂+...+aₙ)/n ≥ (a₁a₂...aₙ)^(1/n). Useful in many CAT problems.
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