Please write out java for 2.1.3.

liere each of i, j, 2.1.4 Problems set. What are the direct products x A and Ax0? What are the direct P2.1.1 Let A be any ducts A {x} and {x} A? Justify your answers. pro Let isInACint x) be a method that takes one input r in the range from 0 to P2.1.2 (uses Java) returns a boolean that tells whether z is in the set A. Write a method that prints a list of the elements in A 1.3 (uses Java) Let L be an array of objects of type Pair, giving the elements of a relation B C A B. Write a method that takes as input an element x of A and an element y of B, and returns a boolean telling whether (x,y) E R. Assume that Pair has methods getFirstO and getSecond ) that return its first and second components respectively. 4 Let A, B, and C be the sets defined in Exercise 2.1.1 above. Explicitly list the direct products (A B) C and A (B C). (Note that an element of A (B C) is a pair whose first element is in A and whose second element is in B C.) If X, Y, and Z are any sets we generally do not distinguish among X (Y Z), (X Y) Z, and the set of triples X Y Z Explain how we may think of an element of each of these sets as an element of one of th others, by describing which elements of each set correspond to which elements of the other 2.1. 2-5