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Problem 2Prove 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

Math Dec 16, 2021

Problem 2Prove 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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