Q6 of 43 Page 11

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

A universal set is the set which can accommodate all other sets in it, i.e. every element of all the sets should be an element of the universal set.

A = set of multiples of 5,


B = set of multiples of 7.


C = set of multiples of 12


Consider the set of all integers, I = {………, -2, -1, 0, 1, 2,………}


We see that every element of the sets A, B and C is an element of the set I.


So, set I can serve as the universal set for the sets A, B and C.


More from this chapter

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4

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

 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

P = set of integers which multiples of are 4.

T = set of all even square numbers.

 7

Let all the students of a class is an Universal set. Let set A be the students who secure 50% or more marks in Maths. Then write the complement of set A.