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प्रश्न
M = {x : x is a natural number between 0 and 8) and N = {x : x is a natural number from 5 to 10}. Find: M – N and n(M – N)
उत्तर
Set M: Natural numbers between 0 and 8 (excluding 0, as natural numbers start from 1):
M = {1, 2, 3, 4, 5, 6, 7, 8}.
Set N: Natural numbers from 5 to 10:
N = {5, 6, 7, 8, 9, 10}.
The set difference M − N is defined as the elements of M that are not in N
Elements of M: {1, 2, 3, 4, 5, 6, 7, 8}.
Remove elements that are also in N: {5, 6, 7, 8}.
M − N = {1, 2, 3, 4}.
The number of elements in M − N is the count of elements in {1, 2, 3, 4}
n(M − N) = 4
- M − N = {1, 2, 3, 4}
- n(M − N) = 4
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