Quiz3_sol

# Quiz3_sol - f x is one-to-one but not onto(b g x is not a...

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Solutions to Quiz 3 Question 1 A - ( A - B ) ≡{ x | x A x / ( A - B ) } ≡{ x | x A ∧ ¬ ( x ( A - B )) } ≡{ x | x A ∧ ¬ ( x A x / B ) } ≡{ x | x A ( x / A x B ) } ≡{ x | ( x A x / A ) ( x A x B ) } ≡{ x | x A x B } A B Question 2 Positive even integers. Question 3 (a)
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Unformatted text preview: f ( x ) is one-to-one but not onto. (b) g ( x ) is not a function, because g (1) = 0 . 5 which is not an integer. (c) ( f ◦ g )( x ) = x + 2 is a bijection. 1...
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