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Prove the following using the specified technique: (a) Prove by contrapositive that for any two real...

Prove the following using the specified technique:

(a) Prove by contrapositive that for any two real numbers,x and y,if x is rational and y is irrational then x+y is also irrational.

(b) Prove by contradiction that for any positive two real numbers,x and y,if x·y≥100 then either x≥10 or y≥10.

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