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Universal Set

A Universal S...

Question

A Universal Set is the set of all elements under consideration, denoted by U. All other sets are subsets of the universal set.

A

True

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B

False

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( 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 ?

Q. Observe the following sets and answer the questions given below.
A = The sets of all residents in Mumbai.
B = The set of all residents in Bhopal.
C = The set of all residents in Maharastra
D = The set of all residents in India.
E = The set of all residents in Madhya-Pradesh

(i) Write the subset relation between the sets A and C.
(ii) Write the subset relation between the sets E and D.
(iii) Which set can be chosen suitably as the universal set?

Q. A universal set is a set containing elements of all the related sets.

Q. The complement of a set A, with respect to U, is the set having all elements of the universal set.

1) What universal set would you propose for each of the following

a) The set of all circles of radius one unit in a plane

b) The set of all natural numbers

c) The set of all even integers.

d) The set of all isosceles right angled triangle.

2) Write all the proper subsets of the set {-1,3,4}. Also write those proper subsets which are superset of the set {3}.

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