Basics of Mathematics

Define set

                    A set is collection of clearly defined objects.the elements or the numbers of a set is known as objects of the set.
Different Forms to Describing a set.

• Descriptive form 
• Tabular form
• Set builder notation

Types of sets

                    There are different types of set which are given below.

• finite set 
• infinite set
• empty/null set
• equal sets
• equivalent sets
• subset
• proper set

Finite set

                 type of a set which have finite or limited elements or numbers .
                e.g     A={2,4,5,6}

Infinite set 

                     type of set which have infinite or unlimited elements or numbers.
                   e.g     A={1,2,3,4,5..................}

Empty set

                   type of set which have no elements or numbers .
                    e.g     A={ }

Equal sets

                     equal sets are those two sets which have equal number of elements and the elements are also same then these sets are known as equal sets of each other.
                     e.g   A={1,2,3}      B={1,2,3} set A and set B are equal sets

Equivalent sets

                       equilateral sets are those two set which have only the equal number of objects.
                       e.g      A={3,4,5,6}  B={a,b,c,d}   A and B are equivalent sets

Subset

            two sets a , b .if all the elements of set b is present on set a then set b is subset of set a.
                       e.g         A={1,2,3}      B={1,2,3} B is subset of set A

proper subset

                              two sets a , b .if all the elements of set b is present on set a but at least one element of set a is not a part of set b, then set b is proper subset of set a.
                       e.g            A={1,2,3}      B={1,2,} B is  proper sub set of set A

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Define set

                    A set is collection of clearly defined objects.the elements or the numbers of a set is known as objects of the set.

Different Forms to Describing a set.

Descriptive form
Tabular form
Set builder notation

Types of sets

                    There are different types of set which are given below.

• Finite set 
• Infinite set
• Empty/null set
• Equal sets
• Equivalent sets
• Subset
• Proper set

Finite set

                 Type of a set which have finite or limited elements or numbers .
                e.g     A={2,4,5,6}

Infinite set 

                     Type of set which have infinite or unlimited elements or numbers.
                   e.g     A={1,2,3,4,5..................}

Empty set

                   Type of set which have no elements or numbers .
                    e.g     A={ }

Equal sets

                     Equal sets are those two sets which have equal number of elements and the elements are also same then these sets are known as equal sets of each other.
                     e.g   A={1,2,3}      B={1,2,3} set A and set B are equal sets

Equivalent sets

                       Equivalent sets are those two set which have only the equal number of objects.
                       e.g      A={3,4,5,6}  B={a,b,c,d}   A and B are equvilent sets

Subset

            Two sets a , b .if all the elements of set b is present on set a then set b is subset of set a.
                       e.g         A={1,2,3}      B={1,2,3} B is subset of set A

Proper subset

                              Two sets a , b .if all the elements of set b is present on set a but at least one element of set a is not a part of set b, then set b is proper subset of set a.
                       e.g            A={1,2,3}      B={1,2,} B is  proper sub set of set A

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Math

•  Mathematics is the science of numbers or the studies of numbers,shapes,and other entries                     by logic mean .The word mathematics  is from a Greek word (Mathema).

Other definition 

• It is the study of the measurement, relationship and properties of quantities and sets using numbers and symbols 

Importance and uses

Mathematics is the mother of science and considered as an oddest branch of knowledge.Mathematics play an important  role in all fields like economics ,trade business etc.the operation of addition,subtraction, multiplication and  division are very useful for purchasing and selling of different things in our daily life.this branch of knowledge has shown its impact on almost all modern fields of research .the use of different methods and Technics for finding estimations of new projects before their construction in technical field.the survey date collecting from any area and use it for the betterment of human life through different methods of calculation . the use of algebraic formulas are also helping  for the solving of algebraic problems easily .

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