If A = {3, 5, 7, 9, 11}, then write which of the following statements are true. If a statement is not true, mention why.

(i) 3 ∈ A

(ii) 5, 9 ∈ A

(iii) 8 ∉ A

(iv) 7 ∉ A

(v) {3} ∈ A

(vi) {5, 9} ∈ A

Write the following sets in the roster form:

(i) A = {x | x is a month of a year having 30 days}

(ii) B = {x | x = 2n, n ∈ W and n < 5}

(iii) C = {x | x ∈ N and x² < 40}

(iv) D = {all letters in the word PERMISSION}

(v) E = {x : x ∈ I and x² < 10}

(vi) F = {x : x ∈ N, 15 < x < 50 and x is divisible by 6}

(vii) the set of whole numbers which are greater than 14 and divisible by 7

(viii) the set of signs of four fundamental operations of arithmetic.

Write the following sets in roster form and also in set builder form:

(i) A = {even whole numbers which are less than 50}

(ii) B = {two digit numbers which are perfect square}

(iii) the set of letters in the word MUSSOORIE

Classify the following sets as empty set, finite set or infinite set:

(i) the set of all even prime numbers > 2

(ii) the set of even prime numbers

(iii) the set of prime numbers less than one crore

(iv) {all points on a line segment of length 3 cm}