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Consider N{A} = 4 and N{B} = 5. (a) What is the smallest number possible for N{A ∩ B}? (b) What is the largest number possible for N{A ∪ B}?

1 Answer

4 votes

Answer:

(a) N{A∩B} = 0

(b) N{A∪B} = 9

Explanation:

Union of two sets: This can be defined as the sum of all the elements of the two sets without writing one element twice. it is denoted by the symbol ∪

Intersection of two sets; This is the set of elements that appears in both sets. It is denoted by the symbol ∩

From the question above,

assuming there is no repetition element in both set,

(a) The smallest number possible for N{A∩B} = 0

(b) The largest number possible for N{A∪B} = 4+5 = 9.

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