2. a. Let f: X - Y and A,BX. Show that f(An B)=f(A)nf (B). Check the correctness of the statement for the function f(x)=2x +1. Hint: Let A= 1,3, B= 2,4 , X= 1,4. I b. Justify that the function f: R20} R defined by the formula f(x)==+1 but not surjective. marks] c. For the following statement, answer TRUE or FALSE. i. [0,1] is countable. ii. Set of real numbers is uncountable. [10 marks] iii. Set of irrational numbers is countable. +1 is injective [8 [1 mark] [1 mark] [1 mark]