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Unformatted text preview: on Z as follows: a b if and only if 3 a + b is a multiple of 4. Prove that is an equivalence relation. 5 [5 points] Question 6. Suppose our universe of discourse is the set of all cats. Let S ( x ) be the predicate x loves salmon Let T ( x ) be the predicate x is teachable Let M ( x ) be the predicate x is missing a tail Let W ( x ) be the predicate x has whiskers Let G ( x ) be the predicate x has green eyes Let K ( x ) be the predicate Koko the gorilla likes to play with x Let F ( x,y ) be the predicate x is willing to ght with y . Express each of the following as English sentences. x ( W ( x ) ) x ( M ( x ) K ( x ) ) x ( G ( x ) y F ( y,x ) ) x W ( x ) ( S ( x ) T ( x ) ) x S ( x ) y ( F ( x,y ) F ( y,x ) ) 6...
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 Spring '08
 Staff
 Math

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