Question: 4. (10 points) Consider the theorem Between every rational number and every irrational number, there is an irrational number (a) Translate this theorem into predicate

4. (10 points) Consider the theorem "Between every rational number and

4. (10 points) Consider the theorem "Between every rational number and every irrational number, there is an irrational number (a) Translate this theorem into predicate logic, using mathematical notation for the predicates (b) Given an informal proof of this theorem. Hint: the average of two real numbers is between those real numbers

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