## ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 5 Sets Check Your Progress

Question 1.

Write the following sets in tabular form and also in set-builder form:

(i) The set of even integers which lie between -6 and 10.

(ii) The set of two-digit numbers which are a perfect square.

(iii) {factors of 42}

Solution:

Question 2.

Write the following sets in roster form:

(i) {x : x = 5n, n ∈ I and -3 < n ≤ 13}

(ii) {x : x = n^{2}, n ∈ W and n < 5}

(iii) {x : x = n^{2} – 2, n ∈ W and n < 4}

Solution:

Question 3.

Write the following sets in set builder form:

(i) {-14, -7, 0, 7, 14, 21, 28}

(ii) {1, 2, 3, 6, 9, 18}

Solution:

Question 4.

Classify the following sets into the finite set, infinite set the empty set. In the case of a (non-empty) finite set, mention the cardinal number.

(i) The set of even prime numbers.

(ii) {multiples of 9}

(iii) {x : x is a prime factor of 84}

(iv) {x : 2x + 5 = 1, x ∈ N}

(v) {x : x is a month of a year having less than 30 days}

(vi) {x | x is a month of a leap year having 28 days}

Solution:

Question 5.

In the following, determine whether A and B are equivalent sets and if so, whether A = B.

(i) A = {1, 3, 5}, B = {Red, Blue, Green}

(ii) A = {prime factors of 70}, B = {prime factors of 60}

(iii) A = {even natural numbers less than 10}, B = {odd natural numbers less than 10}

Solution:

Question 6.

Let P = {letters of SCHOOL} and Q = {letters of FALSE}, then State whether each of the following statement is true or false for the above sets:

(i) P ⊂ Q

(ii) Q ⊂ P

(iii) P ↔ Q

Solution:

Question 7.

State whether each of the following statement is true or false for the sets A, B and C where

A = {x | x ∈ N, x < 40 and x is a multiple of 6}

B = {x | x ∈ W, x ≤ 40 and x is a multiple of 8}

C = {x | x is a factor of 28}.

(i) A ↔ B

(ii) B ↔ C

(iii) A ↔ C

Solution: