Q15 of 71 Page 14

Examine whether A = {x : x is a positive integer divisible by 3} is a subset of B = {x : x is a multiple of 5, }

Given A = {x : x is a positive integer divisible by 3}


= {3,6,9,12,15,18,21,24,……………….}


B = {x: x is a multiple of 5,x belongs to positive integer}


= {5,10,15,20,25,30,……………………..}


Here, if we observe carefully, we can see some common elements, but as a whole none of the sets are less than or subset of each other. Therefore A is not a subset of B


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13

Fill in the blanks with to make each statement true.

i. {3} ---- {0, 2, 4, 6}


ii. {a} ---- {a, b, c}


iii. {8, 18} ---- {18, 8}


iv. {d} ---- {a, b, c}

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Let X = {−3, −2, −1, 0, 1, 2} and Y = {x : x is an integer and −3 ≤ x < 2}

i. Is X a subset of Y?


ii. Is Y a subset of X?

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Write down the power sets of the following sets.

i. A = {x, y}


ii. X = {a, b, c}


iii. A = {5, 6, 7, 8}


iv. A = Φ

 17

Find the number of subsets and the number of proper subsets of the following sets.

i. A = {13, 14, 15, 16, 17, 18}


ii. B = {a, b, c, d, e, f, g}


iii.