If the number of elements of a set are 3, then the number of elements of its power set are........
The Intersection of Set of even numbers and odd numbers is.....
The union of set of rational numbers & irrational numbers is.
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1) We know that the number of elements of a power set is 2^n, if the number of elements in the set is n.
Given Number of elements in the set = n(A)= 3
So the number of elements in the power set n[P ( A) ] = 2^3=8.
===========+============+=========
2) Intersection :- The intersection of two sets is the set of elements which belongs to both sets.
even numbers = 2,4,6....
odd numbers =1,3,5....
hence there is no common elements.
Let the set of Even numbers be E
and odd numbers be O
E ∩ O = ∅
∅ means a null set.
So the intersection of set of even numbers & odd numbers is a null set.
Null set :- A set which doesn't contain any definite or defined element is known as null set. Simply a set with no elements.
3) The Union of Rational number ( Q) and Irrational numbers ( Q¹) is Real numbers ( R)
Q ∪ Q¹ = R
hope helped!
Given Number of elements in the set = n(A)= 3
So the number of elements in the power set n[P ( A) ] = 2^3=8.
===========+============+=========
2) Intersection :- The intersection of two sets is the set of elements which belongs to both sets.
even numbers = 2,4,6....
odd numbers =1,3,5....
hence there is no common elements.
Let the set of Even numbers be E
and odd numbers be O
E ∩ O = ∅
∅ means a null set.
So the intersection of set of even numbers & odd numbers is a null set.
Null set :- A set which doesn't contain any definite or defined element is known as null set. Simply a set with no elements.
3) The Union of Rational number ( Q) and Irrational numbers ( Q¹) is Real numbers ( R)
Q ∪ Q¹ = R
hope helped!
MysticAnswerer:
Thanks!
Answered by
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QUESTION ---- If the number of elements of a set are 3, then the number of elements of its power set are........
The Intersection of Set of even numbers and odd numbers is.....
The union of set of rational numbers & irrational numbers is.
ANSWER
____________________________
Formula states that no. of elements in power set = 2^n If no. of elements in set = n
Therefore,
No of elements in power set if there are 3 in set = 2^3
= 2 × 2 × 2
= 8
_________-__________--________
The set of intersection of even numbers and odd numbers is a
Null set
O ∪ E --- {}
because there is no number which is both even and odd.
____________________________
The union of set of rational and irrational nos. gives a bigger set comprising of more elements i.e.
Set of Real Numbers
R' ∪ I ---- R
R' indicates set of rational numbers
I indicates set of irrational nos
R indicates set of Real Numbers
___________________________
HOPE IT HELPS :):):)
★ BRAINLYY ★
The Intersection of Set of even numbers and odd numbers is.....
The union of set of rational numbers & irrational numbers is.
ANSWER
____________________________
Formula states that no. of elements in power set = 2^n If no. of elements in set = n
Therefore,
No of elements in power set if there are 3 in set = 2^3
= 2 × 2 × 2
= 8
_________-__________--________
The set of intersection of even numbers and odd numbers is a
Null set
O ∪ E --- {}
because there is no number which is both even and odd.
____________________________
The union of set of rational and irrational nos. gives a bigger set comprising of more elements i.e.
Set of Real Numbers
R' ∪ I ---- R
R' indicates set of rational numbers
I indicates set of irrational nos
R indicates set of Real Numbers
___________________________
HOPE IT HELPS :):):)
★ BRAINLYY ★
Thanks!
My Pleasure !!!!!
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