. Prove each of the following statements. For each proof, state which of the proof types you have used. (a) If n is an integer and n2 + 5 is odd, then n is even. (b) √ is irrational. Determine whether each of the functions from Z to Z is one to one. (i) ( ) (ii) ( ) (b) Let S= {0,-1, 2}. Find ( ) if ( )
) Determine whether each of these set is finite, countably infinite, or uncountable. Justify your answer
(a) ( ) where (b) Real numbers between 2 and 2.2.
a) Decrypt these messages using Caesar cipher “HDW GLP VXP”.
(b) List five integers that are congruent to 4 modulo 12.
(c) Which positive integers less than 30 are relatively prime to 30?
) (a)