Take the set of natural numbers from 1 to 20 as universal set and show set X and Y using Venn diagram.

i. X = {x | x ∈ ℕ, and 7 < x < 15}

ii. Y = {y | y ∈ ℕ, y is prime number from 1 to 20}

Write with reasons, which of the following sets are finite or infinite. We know that if a set is a null set or number of elements are limited and countable then it is called ‘Finite set’ and if number of elements in a set is unlimited and uncountable then the set is called ‘Infinite set’.

i. A = {x|x < 10, x is a natural number}

ii. B = {y |y< -1, is an integer}

iii. C = Set of students of class 9 from your school.

iv. Set of people from your village.

v. Set of apparatus in laboratory

vi. Set of whole numbers

vii. Set of rational number

If A = {a, b, c, d, e}, B = {c, d, e, f}, C = {b, d} and D = {a, e}.

then which of the following statements are true and which are false?

i. C ⊆ B ii. A ⊆ D
iii. D ⊆ B iv. D ⊆ A

v. B ⊆ A vi. C ⊆ A

U = {1, 2, 3, 7, 8, 9, 10, 11, 12}

P = {1, 3, 7, 10}

then (i) show the sets U, P and P � by Venn diagram. (ii) Verify (P’)’ = P

A = {1, 3, 2, 7} then write any three subsets of A.