Question

Given U= {1,2,3,4,5,6,7,8,9,10} write the subsets of Universal set which

contain :

a) Set of all odd numbers.

b) Set of all multiples of 3.​

Answer 1

Answer:

a) {1,3,5,7,9}

b) {3,6,9}

Answer 2

Answer:

Given :-

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

To Find :-

a) Set of all odd numbers

b) Set of all multiples of 3

Solution :-

a) Set of all odd numbers

• [ Odd numbers are numbers that cannot be divided into exact 2 pairs. ]

Let A be the subset consisting of odd numbers :

∴ A = [ {1} , {3} , {5} , {7} , {9} ]

b) Set of all multiples of 3

• [ Multiples of 3 are those numbers that can be divided by 3 exactly. ]

Let B be the subset consisting multiples of 3 :

∴ B = [ {3} , {6} , {9} ]

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Additional information : Subsets

♦ A subset is a set whose elements are all members of another set.

For example,

U = { a, b, c, d, e, f, g, h, I, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z }

Q. Write the subset consisting of vowels.

→ Let A be the subset consisting of just vowels.

∴ A = [ {a} , {e} , {I} , {o} , {u} ]

♦ It is denoted by { } .

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