Question

Maths of 10 class of chapter 2Sets

Answer 1

Hi friend,

Main Concepts of Sets:-

• A set is a well defined collection of objects where well defined means that:
(i)There is a universe of objects which are allowed into consideration.
(ii)Any object in the universe is either an element or is not an element of the set.

• An object belonging to a set is known as an element of the set We use the symbol '€' to denote membership of an element and read as "belongs to"

• Sets can be written in the roster form where all elements of the set are written,separated by commas,within curly brackets(braces)
{ }

• Sets can also be written in set-builder form.

• A set which does not contain any element is called an EMPTY set,or a NULL set,or a VOID set.

• A set is called a finite set if its cordinal number is a definite whole number.

• We can say that a set is infinite if it is not finite.

• The number of elements in a set is called the cardinal number of a set.

• The universal set is denoted by μ or U. The universal set is usually represented by rectangles.

• A is a subset of B if 'a' is an element of A implies 'a' is also an element of B.
This is written as A ⊆ B if a € A ⇒ a € B,where A,B are two sets.

• Two sets, A and B are said to be equal if every element in A belongs to B and every element in B belongs to A.

• A union B is written as A ∪ B = {x : x € A or x € B}

• A intersection B is written as A ∩ B = {x : x € A and x € B}

• The difference of two sets A,B is as A – B
A – B = {x: x € A and x ∉B}

• Venn diagrams are a convenient way of showing operations between sets.



→ hope it helps ←