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Perform the following tasks: a. Prove directly that the product of an even and an odd...

Perform the following tasks:

a. Prove directly that the product of an even and an odd number is even.

b. Prove by contraposition for arbitrary x does not equal -2: if x is irrational, then so is x/(x+2)

c. Disprove: If x is irrational and y is irrational, then x+y is irrational.

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