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Question: express the following english sentences using propositional functions quantifiers and...

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Express the following English sentences using propositional functions, quantifiers and logical connections.

(a) Some young people do not get up early.

(b) Some people are not rich but healthy and happy.

(c) All smart people are rich.

(d) Not all animals that have wings can fly.

(e) All students who have paid or have been authorized can register.

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