Question

Discrete Math.

Problem 1.

Consider the statement: “If an animal is an rhinoceros, then it has 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 by contraposition 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.

Answer 1

Hope this will help you to solve the problem, if any query you can ask with me.

Thank you.