Mathematics
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) = …………… .
Sets
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Answer
(i) In a set-builder form, we list the properties satisfied by each element of the set.
(ii) A void set is usually denoted by ϕ.
(iii) If A ⊆ X, then X is called a superset of A.
(iv) Two finite sets having the same number of elements are said to be equivalent.
(v) n(A ∪ B) + n(A ∩ B) = n(A) + n(B).
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Related Questions
If A is any set and U is the universal set, then the complement of A is
- Φ
- A
- U - A
- U
n(A - B) is equal to
- n(A) - n(B)
- n(A) - n(A ∪ B)
- n(A ∪ B) - n(A ∩ B)
- n(A) - 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)
Sid is given a few sets. These are represented as A, B, C, D, E, F and G on a plain sheet of paper as a Venn Diagram.
(1) How many empty sets are there in the given Venn Diagram ?
- 3
- 2
- 1
- 0
(2) How many singleton sets are there in the given Venn Diagram ?
- 0
- 1
- 2
- 3
(3) How many pairs of equivalent sets are there in the given Venn Diagram ?
- 1
- 2
- 3
- 4
(4) How many pairs of equal sets are there in the given Venn Diagram ?
- 0
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- 2
- 3