## ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 5 Sets Ex 5.2

Question 1.

State whether the following sets into empty, finite and 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) {multiples of 5}

(iv) {all straight lines drawn in a plane}

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

(vi) {x | x is a letter in the word ‘SUFFICIENT’}

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

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

(ix) {x : x ϵ I and -2 ≤ x ≤ 5}

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

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

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

Solution:

Question 2.

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 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 ϵ N and 2x = 3}.

Solution:

Question 3.

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

Solution: