Q6 of 71 Page 14

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.

i. The possible values of n : 1, 2, 3, 4


∴ The possible values of x : 5, 25, 125, 625


∴ A = {5, 25, 125, 625}


∴ n(A) = 4


ii. B = {b, c, d, f, g, h, j, k, l, m, n, p, q, r, s, t, v, w, x, y, z}


∴n(B) = 21


iii. The only even prime number is : 2


∴ X = {2}


∴ n(X) = 1


iv. There are no possible values of x.


∴ P = ϕ


∴ n(P) = 0


v. The possible values of x : -3, -2, -1, 0, 1, 2, 3, 4, 5


∴ Q = {-3, -2, -1, 0, 1, 2, 3, 4, 5}


∴ n(Q) = 9


More from this chapter

All 71 →
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}

 7

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’

 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}