Page 11 - Math 7

Set

c) Define cardinal number of a set with an example.
d) Write four types of sets on the basis of cardinal numbers. Write one example
of each.
6. Let's rewrite these sets in description method.

a) A = {1, 2, 3, 4} b) B = {5, 10, 15, 20, 25}
c) C = {7, 11, 13, 17, 19} d) D = {1, 2, 3, 6}

7. Let's rewrite these sets in listing method.
a) P = { prime numbers between 10 and 20 }
b) A = { letters of the word ‘FOOTBALL’ }
c) F = {x : x is a A factor of 18 }.
d) M = {y : y is a multiple of 3, 5 < y < 10}.
8. Let's rewrite these sets in set builder method.
a) A= {1, 2, 3, 4, 5} b) B = { 2, 3, 5, 7}
c) C = {1, 4, 9, 16, 25} d) D = {1, 2, 4, 8}
9. Let's list the elements and write the cardinal numbers of these sets.

a) A = { composite numbers between 10 and 20}.
b) B = { all possible factors of 12 }.

c) Z = { x : x is an integer, –2 ≤ x ≤ 2}
d) W = { x : x is a whole number, x < 1 }

It's your time - Project work!

10. a) Let's write the whole numbers from 90 to 100. Select the appropriate
numbers to form the following sets. Then, write the types of sets.
(i) A={even numbers} (ii) B={odd numbers}

(iii) C={x : x is a prime number} (iv) D={y : y is a composite number}
(v) E={z : z is a square number} (vi) F={cube numbers}

(vii) G={multiples of 7} (viii) H={x : x is divisible by 11}

b) Let's observe around the kitchen of your house and select any five objects
as the members of a set. Then, express the set in description, roster, and
rule methods.

1.6 Relationships between sets

According to the types and number of elements contained by two or more sets, there
are various types of relationships between the sets, such as equal sets, equivalent
sets, disjoint sets, and overlapping sets.

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 9 Vedanta Excel in Mathematics - Book 7