Set formula form easily

Aug 6th, 2022
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How to set formula form

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hello friends welcome to my channel math realization today we are going to see the formulas related to sets and especially on cardinal numbers okay so lets start your class so first we are going to see the formulas that are related to sets having only two subsets okay so lets start our formula so lets uh start with the formula n e union b where a and b are the subsets of universal set u and its formula is n a plus n b minus n a intersection b okay i i have said here a and b are the subset of u but to so in a diagram we have to draw two subsets like this okay and you can keep it inside the rectangle or square generally when you draw it may be a rectangle so lets keep them inside a rectangle okay so these are subsets e and b of universal set u so you have to write u at the corner this u represents universal set and a and b are the subsets of u and while we are drawing this figure please dont make contact with a and b of this line okay this line encloses a and b and please dont tou

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Example: B = { x | x is a two-digit odd number from 11 to 20} which means set B contains all the odd numbers from11 to 20. By using the roster method, set B can be written as B = {11, 13, 15, 17, 19}. Q is the set of rational numbers that can be written in set builder form as Q = {p/q | p, q Z, q0}.
Set is defined as a well-defined collection of objects. These objects are referred to as elements of the set. Different types of sets are classified ing to the number of elements they have. Basically, sets are the collection of distinct elements of the same type.
What Is the Formula of Sets? The set formula is given in general as n(AB) = n(A) + n(B) - n(A⋂B), where A and B are two sets and n(AB) shows the number of elements present in either A or B and n(A⋂B) shows the number of elements present in both A and B.
Hence, the formula for A ∆ B is B - A A - B or A B - A B .
For any three sets P, Q, and R: n ( P Q ) = n(P) + n(Q) n ( P Q)
Answer: There are various kinds of sets like finite and infinite sets, equal and equivalent sets, a null set. Further, there are a subset and proper subset, power set, universal set in addition to the disjoint sets with the help of examples.
1 How many types of sets are there? Ans. 1 The various types of sets are empty set, finite set, singleton set, equivalent set, subset, power set, universal set, superset and infinite set.
Set Builder Form or Rule Method Hence, we can write the set X as follows: A = {x : x is a natural number less than 7} which can be read as A is the set of elements x such that x is natural numbers less than 7. The above set can also be written as A = {x : x N, x 7}.
Sets can be represented in three forms: Roster Form: Example- Set of even numbers less than 8={2,4,6} Statement Form: Example-A = {Set of Odd numbers less than 9} Set Builder Form: Example: A = {x: x=2n, n N and 1 n 4}
The two methods of writing sets are roster method and rule method.

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