Grade: 8 [ Formula and Definition Collection ] Q/A

1. Define Venn Diagram.

Solution:
A visual representation between the sets using figure is called Venn Diagram.

2. Define overlapping sets.

Solution:
Two or more than two sets are said to be overlapping sets if they have at least one common element and at least one distinct element.

3. Define disjoint sets.

Solution:
Two or more than two sets are said to be overlapping sets if they do not have any common element.

4. Define subset.

Solution:
A set is said to be subset of another set if every element of the first set is also an element of the second set.

5. Define Proper subset.

Solution:
If a subset is formed by taking some elements from the given set then the subset is called a proper subset of the given set.

6. Define imroper subset.

Solution:
If a subset is formed by taking all the elements from the given set then the subset is called an improper subset of the given set.

7. Fill in the Blanks.
(a) The number os subsets = .....
(b) The number of proper subsets = ......
(c) The number of improper subsets = ......
(d) The proper subset is denoted by the symbol ....
(e) The improper subset is denoted by the symbol ...
(f) The empty set is a proper subset of any set. [T/F]
(g) Equal sets are improper subsets to each other. [T/F]

Solution:
(a) The number os subsets = \(2^n\)
(b) The number of proper subsets = \(2^n - 1 \)
(c) The number of improper subsets = 1
(d) The proper subset is denoted by the symbol ⊂
(e) The improper subset is denoted by the symbol ⊆
(f) The empty set is a proper subset of any set. [T]
(g) Equal sets are improper subsets to each other. [T]