5220 PS2 - Rebecca Jones MATH 5220 PS2 Problem 1:...

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Unformatted text preview: Rebecca Jones MATH 5220 PS2 Problem 1: Reflexivity . 1 1 1 1 reflexive is x x b x x a that such b and a x x x x n n ≈ ⇔ ℜ ∈ 2200 ≤ ≤ = = 5 ⇔ ℜ ∈ 2200 ≤ ≤ Symmetry x x x x b x x a that such a b b a x a x x b x x b x x a x x x b x x a x x b x x a that such b a x x x x Let n n n n n = ⇔ ℜ ∈ 2200 ≤ ≤ = = 5 ⇔ ℜ ∈ 2200 ≤ ≤ ⇔ ℜ ∈ 2200 ≥ ≥ ⇔ ℜ ∈ 2200 ≤ ≤ ⇔ ℜ ∈ 2200 ≤ ≤ 5 ⇔ ≈ ≈ * * 1 , 1 * * * 1 * * , * . * 2 2 1 2 1 2 1 1 1 1 1 1 1 1 So, is symmetric ≈ Transitivity Let * * * * x x and x x ≈ ≈ * * * * * * , * * * * * * * * * * * * * * * * * * * * * , * * , * * * * 3 3 2 1 3 2 1 3 2 1 1 1 2 1 2 2 2 1 2 2 2 1 2 2 2 2 1 1 1 1 x x x x b x x a that such b b b a a a x x b b x b x x a x a a x x b x x a and x b b x b and x a x a a x x b x x a that such b a and x x b x x a that such b a x x and x x n n n n n ≈ ⇔ ℜ ∈ 2200 ≤ ≤ = = 5 ⇔ ℜ ∈ 2200 ≤ ≤ ≤ ≤ ⇔ ℜ ∈ 2200 ≤ ≤ ≤ ≤ ⇔ ℜ ∈ 2200...
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This note was uploaded on 09/15/2009 for the course MATH 5220 taught by Professor Ealy during the Spring '09 term at Western Michigan.

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5220 PS2 - Rebecca Jones MATH 5220 PS2 Problem 1:...

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