Let B = {-3,1,2}. Consider the statement “for any natural number y, if 2y>= 5 then y is not part of B”.

- Write the above using mathematical quantifies.
- Give a direct proof of the statement.
- Prove the statement using contrapositive.
- Give the negation of the statement.
- Prove the statement by contradiction.
- Either give a counterexample for the statement or show that no counterexample exists.

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