(i) If we want to study the various groups of people in our country, universal set is the set of all people in India.
The universal set is generally denoted by 'u' and sometimes by U. The Universal set is usually represented by rectangles to show in the form of a figure
Let us consider the set of natural numbers,
N=(1,2,3,4...). Then set of even numbers is 1. When we say " if x<3, then x<4", we denote as "x<3⇒x<4"
formed by the elements of N. Then Nis 2 When we say "x-2-5 if and only if x=7".
unversal set of even numbers. Is Nalso we write this as "x-2-5x-7""
universal set for the set of odd numbers?
Consider a set from A= 11,23). How many sets can you form by taking as many elements as you wish from set A? Now, (11.12).131.(1,2),(2,3), (1,3) and (1,2,3) are the sets you can form. Can you form any other sets? These sets are called subsets of A. If we want to say (1,2) is subset of A,
then we denote it as (1,2) A. When we consider the subsets of A, we should say (1,2,3) is also as a subset of A If all elements of set A are present in B, then A is said to be subset of B denoted by A B
Then we can write as AB "ae Aae B", where A and B are two sets.
Let us consider the set of real numbers g; It has many subsets the set of whole numbers W=(0, 1, 2, 3, S N
For example, the set of natural numbers N = {1,2,3,4,5,.......
the set of integers z = {, -3, -2, -1, 0, 1, 2, 3,
Consider a null set ∅ and a non empty set A. Is ∅ a subset of A? If not ∅ should have an element which is not element of A. for being an empty set ∅ has no such element, thu ∅ ⊆ A
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