Cartesian product of two set
Cartesian product means a set consisting of all the ordered pairs (a, b) of two non empty sets A and B such that a ∈ A and b ∈ …
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Multiplicative inverse of real number
Multiplicative inverse of real number: The element ” 1 / a ” is called Multiplicative inverse of real number ” a ” Symbolically: ∀ a ∈ R ( a ≠ …
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Reversal law of inverse
Reversal law of inverse statement: In a group G, ∀ ( for all) a , b ∈ G ⇒ ( this implies that ) (ab)⁻ ¹ = a⁻¹ b⁻¹ Proof: …
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difference of two set
Difference of two set definition”The set of all element of A which does not belong to B”. The difference of two set A and B is denoted by mathematical symbol …
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power set of empty set
power set of empty set,, power set of empty set is a singleton set. Let B = { } OR B = φ , then B has only one possible …
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singleton set has proper subset
Every singleton set has no proper subset. For example {6} has one and only one subset {6}which is improper subset. Null set or empty set { } has no proper …
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Set builder notation Example
Set builder notation Example: Set builder notation Example Descriptive form of set Tabular form of set Notation { x/x ∈ N ∧ …
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Order of a set
Order of a set : There is no restriction on the number of members of a set . A set may have 0,1,2,3,4 or any number of elements. sets with …
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complement of a set symbol
compliment of a set A , denoted by A’ . or A compliment relative to the universal set U is the set of all element U , which do not …
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A union B set Venn diagram
A union B set Venn diagram Definition of union:The set of all element of set A and set B is called union and removing all repeated element in union of …
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