{Φ} is a / an

1. empty set
2. infinite set
3. singleton set
4. universal set

If A is any set and U is the universal set, then the complement of A is

1. Φ
2. A
3. U - A
4. U

Fill in the blanks :

(i) In a …………… form, we list the properties satisfied by each element of the set.

(ii) A void set is usually denoted by …………… .

(iii) If A ⊆ X, then X is called a …………… of A.

(iv) Two finite sets having the same number of elements are said to be …………… .

(v) n(A ∪ B) + n(A ∩ B) = …………… .

Write true (T) or false (F):

(i) The number of proper subsets of a set containing n elements is 2ⁿ.

(ii) Any set A and its complement are equivalent sets.

(iii) The complement of a set is a subset of U.

(iv) If n(A ∩ B) = Φ, then n(B - A) = n(B)

(v) If two sets A and B are disjoint, then n(A ∪ B) = n(A) + n(B)