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discrete math most important is c) and e) and f) statements with nested quantifiers: variables ... please with...

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Advance Math

discrete math

most important is c) and e) and f) statements withnested quantifiers: variables ...

please with a clear and concise explanation on how to doeach steps. So not just the answer but the explanation as wellbecause I'm totally lost on how to do this at all.

Question: Discrete Math Most important is c) and e) andf) Statements with nested quantifiers: variables wi...

Discrete Math

Most important is c) and e) and f)

Statements with nested quantifiers: variables withdifferent domains.

The domain for the first input variable to predicate T is a setof students at a university. The domain for the second inputvariable to predicate T is the set of Math classes offered at thatuniversity. The predicate T(x, y) indicates that student x hastaken class y. Sam is a student at the university and Math 101 isone of the courses offered at the university. Give a logicalexpression for each sentence.

(b)

Every student has taken at least one math class.

(c)

Every student has taken at least one class other than Math101.

(d)

There is a student who has taken every math class other thanMath 101.

(e)

Everyone other than Sam has taken at least two different mathclasses.

(f)

Sam has taken exactly two math classes.

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