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

(i) the set of integers which lie between -2 and 3 (both inclusive)

(ii) the set of letters in the word 'ULTIMATUM'

(iii) {months of a year whose names begin with J}

(iv) the set of single digit whole numbers which are perfect squares

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}

Given that A = {2, 5, 7, 8, 10}, B = {5, 7, 2, x, 10} and A = B, write the value of x.

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 … .