The operation in which we obtain the elements that are only in set A but not in set B is __________ .
B - A
A ∪ B
A - B
A + B
The operation which gives the elements that are only in set A but not in set B is A - B.
The operation in which the elements that are either in set A or in set B or in both set A and set B is called ____.
Given non-empty set X, consider the binary operation ∗:P(X)×P(X)→P(X) given by A∗B=A∩B∀A,B in P(X), where P(X)is the power set of X. Show that X is the identity element for this operation and X is the only invertible element in P(X) with respect to the operation.
The number of elements in each of universal set, set A and set B are represented as n(U), n(A), n(B) respectively. The number of elements that are not in set A and not in set B is given by
Given a non-empty set X, consider the binary operation *: P(X) × P(X) → P(X) given by A * B = A ∩ B &mnForE; A, B in P(X) is the power set of X. Show that X is the identity element for this operation and X is the only invertible element in P(X) with respect to the operation*.