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Ex 2. Prove by contradiction the following claims. In each proof highlight what is the contradiction...

Ex 2. Prove by contradiction the following claims. In each proof highlight what is the contradiction (i.e. identify the proposition Q such that you have Q ∧ (∼Q)).

Claim 1: The sum of a rational number and an irrational number is irrational. (Recall that x is said to be a rational number if there exist integers a and b, with b 6= 0 such that x = a b ).

Claim 2: There is no smallest rational number strictly greater than 0.

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