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If any subset of size six is chosen from the set S = {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4), then prove that each of the following statements is true. A pair of numbers in the subset has the property that subtracting one number of the pair from the other gives a difference equal to 5, and a pair in the subset has sum equal to negative 1.

If any subset of size six is chosen from the set S = {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4), then prove that each of the following statements is true. A pair of numbers in the subset has the property that subtracting one number of the pair from the other gives a difference equal to 5, and a pair in the subset has sum equal to negative 1.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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If any subset of size six is chosen from the set S {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4}, then prove that each of the following statements is true. A pair of numbers in the subset has the property that subtracting one number of the pair from the other gives a difference equal to 5, and a pair in the subset has sum equal to negative 1.
Transcribed Image Text:If any subset of size six is chosen from the set S {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4}, then prove that each of the following statements is true. A pair of numbers in the subset has the property that subtracting one number of the pair from the other gives a difference equal to 5, and a pair in the subset has sum equal to negative 1.
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