Discrete Math 2.4.3. Prove each of the following algebraic statements using a direct proof: a) For any positive real numbers, y and x, y + x ≥ SQRT(yx). b) If n is a real number such that 0 < n < 1, then 1 / (n(1 - n)) ≥ 4.
Discrete Math 2.4.3. Prove each of the following algebraic statements using a direct proof: a) For any positive real numbers, y and x, y + x ≥ SQRT(yx). b) If n is a real number such that 0 < n < 1, then 1 / (n(1 - n)) ≥ 4.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 25E
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Discrete Math
2.4.3. Prove each of the following algebraic statements using a direct proof:
a) For any positive real numbers, y and x, y + x ≥ SQRT(yx).
b) If n is a real number such that 0 < n < 1, then 1 / (n(1 - n)) ≥ 4.
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