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.
