Question

Let A = {a, b, c}, B = {a}, C = (a, b} then,

(i) Which set given above are the proper subsets of the set A?
(ii) Which set is the superset of C?

Answer 1

Proper subset: If P is a subset of Q and Q contains at least one element which is not in P, then P is a proper subset of Q.

Superset: In the above condition, Q is said to be the superset of P.

(i) Here, B= {a} and C= {a, b}
Set A contains at least one element which is not in sets B and C.
Therefore, sets B and C are proper subsets of set A.

(ii) Set C is a proper subset of set A. Therefore, we can say that A is the superset of C.