Fill in the blank to make the given statement true : =_____
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Answered by
1
answer :
for understanding, Let us assume that A = {1, 2, 3, 4} and U = {1, 2, 3, 4, 5, 6, 7, 8, 9}
first find complement of empty set.
e.g., = {1, 2, 3, 4, 5, 6, 7, 8, 9}
now,
= {1, 2, 3, 4, 5, 6 , 7, 8, 9} {1, 2, 3, 4}
= {1, 2, 3, 4} = A
hence,
for understanding, Let us assume that A = {1, 2, 3, 4} and U = {1, 2, 3, 4, 5, 6, 7, 8, 9}
first find complement of empty set.
e.g., = {1, 2, 3, 4, 5, 6, 7, 8, 9}
now,
= {1, 2, 3, 4, 5, 6 , 7, 8, 9} {1, 2, 3, 4}
= {1, 2, 3, 4} = A
hence,
Answered by
0
{ }' cap A = A
Explanation :
***********************************
Empty Set :{ }
A set with no elements in it is
called an Empty Set.
Universal set ( U ):
A set which consists of all the sets
under consideration or discussion
is called the universal set.
Complement of set A :( A' )
Complement of set A is denoted by A'
A' = U - A
**************************************
Let U = { 1,2,3,4,5,6,7 }
A = { 2,3,5,7 }
i ) { } ' = U - { }
= { 1,2,3,4,5,6,7 } - { }
= { 1,2,3,4,5,6,7 }
= U
ii ) { }' cap A = U cap A
= { 1,2,3,4,5,6,7 } cap { 2,3,5,7 }
= { 2,3,5,7 }
= A
Therefore ,
{ }' cap A = A
••••
Explanation :
***********************************
Empty Set :{ }
A set with no elements in it is
called an Empty Set.
Universal set ( U ):
A set which consists of all the sets
under consideration or discussion
is called the universal set.
Complement of set A :( A' )
Complement of set A is denoted by A'
A' = U - A
**************************************
Let U = { 1,2,3,4,5,6,7 }
A = { 2,3,5,7 }
i ) { } ' = U - { }
= { 1,2,3,4,5,6,7 } - { }
= { 1,2,3,4,5,6,7 }
= U
ii ) { }' cap A = U cap A
= { 1,2,3,4,5,6,7 } cap { 2,3,5,7 }
= { 2,3,5,7 }
= A
Therefore ,
{ }' cap A = A
••••
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