a) The function ƒ :N → N given by ƒ(x) = 2xi) one-one and ontoii)

1.	a) The function ƒ :N → N given by ƒ(x) = 2xi) one-one and ontoii) one-one and not ontoiii) not one-one and not ontoiv) onto but not one-oneb) Let * be an operation such that ab= LCM of a and b defined on the set A = {1,2,3,4,5}. Is a binary operation?Justify your answer.
Answer» a) ii) one-one and not onto b) LCM of 2 and 3 is 6 ∉ A, therefore not a binary operation.

a) The function ƒ :N → N given by ƒ(x) = 2xi) one-one and ontoii) one-one and not ontoiii) not one-one and not ontoiv) onto but not one-oneb) Let * be an operation such that ab= LCM of a and b defined on the set A = {1,2,3,4,5}. Is a binary operation?Justify your answer.

Answer»

a) ii) one-one and not onto

b) LCM of 2 and 3 is 6 ∉ A, therefore not a binary operation.