Let

A = {x : x is a natural number < 11}

B = {x : x is an even number and 1 < x < 21}

C = {x : x is an integer and 15 ≤ x ≤ 25}

i. List the element of A, B, C

ii. Find n(A), n(B), n(C)

iii. State whether the following are True (T) or False (F)

a)

b)

c)

d)

i. Given

A = {1, 2, 3, 4, 5, 6, 7, 8, 9,10},

B = {2, 4, 6, 8,10,12,14,16,18, 20},

C = {15,16,17,18,19, 20, 21, 22, 23, 24, 25}

ii. n(A)= number of elements = 10, n(B) = 10, n(C) = 11

iii. (a) F

since B set does not contain 7, the given statement is false.

(b) T

Since A set does not contain 16, the given statement is true

(c) T

Since 15,20,25 form a subset of C set, as C contains 15,20,25. Therefore it is true.

(d) T

Since 10,12 form a subset of B set, as B contains 10,12. Therefore it is true.