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Discrete Math. Problem 1. Consider the statement: “If an animal is an rhinoceros, then it has a horn.” (a)...

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Advance Math

Discrete Math.

Problem 1.

Consider the statement: “If an animal is an rhinoceros, then ithas a horn.”

(a) Write down the CONVERSE of this statement.

(b) Write down the CONTRAPOSITIVE of this statement

Problem 2.

Let x be a positive real number.

Using the definition of rational number, write a proof bycontraposition of the following:

If x is irrational, then ? x + 6 is also irrational.

Problem 3

Let n be an integer. Using the definition of odd/even number,write a proof of the following: n is even if and only if 2n 2 + 5n+ 7 is odd.

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