Q7 of 71 Page 14

Identify the following sets as finite or infinite

i. A = {4, 5, 6, ...}


ii. B = {0, 1, 2, 3, 4, ... 75}


iii. X = {x : x is an even natural number}


iv. Y = {x : x is a multiple of 6 and x > 0}


v. P = The set of letters in the word ‘freedom’

i. A = {4, 5, 6 ….}


A contains all the integers greater than 3.


∴ A is an infinite set.


ii. B = {0, 1, 2, 3, ……75}


B contains all the integers between 0 and 75.


∴ B is a finite set.


iii. X = {x : x is an even natural number}


∴ X = {2, 4, 6, ……}


∴ X is an infinite set.


iv. Y = {x : x is a multiple of 6 and x > 0}


∴ Y = {6, 12, 18, ……}


∴ Y is an infinite set.


v. P = The set of letters in the word ‘freedom’


P contains only the letters of word ‘freedom’.


∴ P is a finite set.


More from this chapter

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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}

 6

Find the cardinal number of the following sets

i.


ii. B = {x : x is a consonant in English Alphabet}


iii. X = {x: x is an even prime number}


iv.


v.

8

Which of the following sets are equivalent?

i.


ii. Y = {x : x is a vowel in the English Alphabet}


iii. P = {x : x is a prime number and 5 < x < 23}


 9

Which of the following sets are equal?

i. A = {1, 2, 3, 4}, B = {4, 3, 2, 1}


ii. A = {4, 8, 12, 16}, B = {8, 4, 16, 18}


iii. X = {2, 4, 6, 8}


Y = {x : x is a positive even integer 0 < x < 10}


iv. P = {x : x is a multiple of 10, }


Q = {10, 15, 20, 25, 30, ...}