Question

What do you mean by Sets? Explain in brief types of sets with a proper examples. What is De- Morgan’s law and cardinal properties of Sets?​

Answer 1

Hey Mate!!

Set ;

Set is defined as a well-defined collection of objects. These objects are referred to as elements of the set. Basically, sets are the collection of distinct elements of the same type. ... For example, a basket of apples, a tea set, a set of real numbers, natural numbers, etc.

De-Morgan's Law ;

The complement of the union of two sets is equal to the intersection of their complements and the complement of the intersection of two sets is equal to the union of their complements. These are called De Morgan's laws. For any two finite sets A and B; (i) (A U B)' = A' ∩ B' (which is a De Morgan's law of union).

Cardinal Properties of sets ;

CARDINAL PROPERTIES OF SETS - FORMULA

n(A∪B)=n(A)+n(B)−n(A∩B)

If A∩B=ϕ, then n(A∪B)=n(A)+n(B)

Also,

n(A−B)=n(A)−n(A∩B)

n(B−A)=n(B)−n(A∩B)

Hope this helps you!!