which of the set represent N intersection W? write the set.
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Step-by-step explanation:
N = set of natura numbers ={1,2,3...}
W=set of whole numbers={0,1,2,3...}
NnW={1,2,3...}n{0,1,2,3..}={1,2,3..}
the intersection of natural numbers and whole numbers is natural numbers
Answered by
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Answer:
The set N represents N∩W.
The elements of the set N∩W are {1, 2, 3, . . .}.
Step-by-step explanation:
Natural numbers:-
- The counting numbers are known as natural numbers.
- Example: 1, 2, 3, . . .
- The set of natural numbers is denoted by N.
- N = {1, 2, 3, . . . }
Whole numbers:-
- All the natural numbers together with 0 are called whole numbers
- Example: 0, 1, 2, . . .
- The set of whole numbers is denoted by W.
- W = {0, 1, 2, 3, . . .}
Step 1 of 1
Find the set which represents the N∩W.
Here, = The set of natural numbers.
⇒ = {1, 2, 3, . . . }
And, = The set of whole numbers.
⇒ = {0, 1, 2, 3, . . . }
Then,
The common elements of the sets N and W are 1, 2, 3, . . ., i.e.,
All the elements of the set N are the common elements of N and W.
Thus, N∩W = N
N∩W = {1, 2, 3, . . .}
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