Let A be a subset of {1, 2,. 11} such that |A| = 7. Prove that there exist... 9x, y = A such that xy and x + y = 12.

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Answered: ...9 Let A be a subset of {1, 2, 11}…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A. Let R be a relation on set A. A={x : x ∊ J and 0 ≤ x ≤ 12}, and R={(a,b) : a - b is multiple of 4 } . Represent this relation by a matrix. B. Using induction, prove that n2 + n is divisible by 2, where n ∊ N
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...9 Let A be a subset of {1, 2, 11} such that |A| = 7. Prove that there exist ï, y ¤ A such that ï ‡ y and x + y = 12.