Q1 of 71 Page 14

Which of the following are sets? Justify your answer.

i. The collection of good books


ii. The collection of prime number less than 30


iii. The collection of ten most talented mathematics teachers.


iv. The collection of all students in your school


v. The collection of all even numbers.

i. The collection of good books is not a set, because determination of good books varies from person to person.


ii. The collection of prime number less than 30 is a set, because it contains the prime numbers which are less than 30.


iii. The collection of ten most talented mathematics teachers is not a set, because determination of ten most talented mathematics teachers varies from person to person.


iv. The collection of all students in your school is a set, because it contains all students in your school which is easily identifiable.


v. The collection of all even numbers is a set, because it contains all the even numbers and any number is easily identifiable from this set.


More from this chapter

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2

Let A = {0, 1, 2, 3, 4, 5}. Insert the appropriate

i. 0 ____ A


ii. 6 ____ A


iii. 3 ____ A


iv. 4 ____ A


v. 7 ____ A

 3

Write the following sets in Set-Builder form

i. The set of all positive even numbers


ii. The set of all whole numbers less than 20


iii. The set of all positive integers which are multiples of 3


iv. The set of all odd natural numbers less than 15


v. The set of all letters in the word ‘computer’

 4

Write the following sets in Roster form

i.


ii.


iii. C = {x : x is a prime number and a divisor of 6}


iv.


v.


vi.

5

Write the following sets in Descriptive form

i. A = {a, e, i, o, u}


ii. B = {1, 3, 5, 7, 9, 11}


iii. C = {1, 4, 9, 16, 25}


iv. P = {x : x is a letter in the word ‘set theory’}


v. Q = {x : x is a prime number between 10 and 20}