State whether the following sets are empty, finite or infinite sets. In case of (non-empty) finite sets, mention the cardinal number.

(i) {all colours of a rainbow}

(ii) {x | x is a prime number between 7 and 11}

(iii) {x | x is a digit in the numeral 550131527}

(iv) {x | x is a letter in the word 'SUFFICIENT'}

(v) {x | x is a vowel in the word MATHEMATICS}

(vi) {x : x is an even whole number and x ≤ 20}

(vii) {x : x ∈ I and -2 ≤ x < 5}

(viii) {x : x is a prime number less than 25}

(ix) {x : x is a prime factor of 180}

(x) {x : x ∈ N and x is a composite number < 12}

State whether the following pairs of sets are equal or not:

(i) A = {2, 4, 6, 8, 10}, B = {even natural numbers}

(ii) A = {3, 5, 7, 9, 11, 13}, B = {odd natural numbers between 2 and 14}

(iii) A = {PUPPET}, B = {P, U, E, T}

(iv) A = {x | x is a letter in the word SOPHIA}, B = {x | x is a letter in the word MUMTAZ}

(v) A = {kids 5 metres tall}, B = {x : x ∈ N and 2x = 3}

Fill in the blanks:

(i) A collection of … objects is called a set.

(ii) If x is a member of the set A, we write it as … .

(iii) The order of listing the elements of a set can be … .

(iv) If one or more elements are repeated, the set remains … .

State whether the following statements are true (T) or false (F). Justify your answer.

(i) A collection of stamps is a set.

(ii) A collection of some fruits is a set.

(iii) A group of boys playing cricket is a set.

(iv) Collection of five rivers of India is a set.