Q4 of 43 Page 11

A = {1, 3, 2, 7} then write any three subsets of A.

We know that any set S such that every element of S is an element of the set A is said to be a subset of A.

∴ Consider B = {1, 2, 3}, C = {1, 3} and D = {2, 3, 7}


It is clear from above that every element of the sets B, C and D is an element of set A, so, B, C and D are subsets of A.


Also, note that


Every set is a subset of itself, i. e. A ⊆ A and


Empty set is a subset of every set, i. e. ϕ ⊆ A.


So, A and ϕ are also subsets of A.


More from this chapter

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2

Take the set of natural numbers from 1 to 20 as universal set and show set X and Y using Venn diagram.

i. X = {x | x ∈ ℕ, and 7 < x < 15}


ii. Y = {y | y ∈ ℕ, y is prime number from 1 to 20}

 3

U = {1, 2, 3, 7, 8, 9, 10, 11, 12}

P = {1, 3, 7, 10}


then (i) show the sets U, P and P � by Venn diagram. (ii) Verify (P’)’ = P

 5

(i) Write the subset relation between the sets.

P is the set of all residents in Pune.


M is the set of all residents in Madhya Pradesh.


I is the set of all residents in Indore.


B is the set of all residents in India.


H is the set of all residents in Maharashtra.


(ii) Which set can be the universal set for above sets?

 6

Which set of numbers could be the universal set for the sets given below?

i. A = set of multiples of 5,


B = set of multiples of 7.


C = set of multiples of 12