Let A={1,2,3,4} and let B be the set of prime numbers less than 15. A relation T⊆A×B is defined as follows:
For every a∈A, (a,b)∈T where b is the smallest prime number strictly greater than 2a.
Answer the following:
a. (i) Construct the set T by listing all its ordered pairs.
b. (ii) Prove that T is a function from A to B.
c. (iii) Determine whether this function is one-one, onto, both or neither. Give reasons for each conclusion.