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Mathematics

If A = {x : x ∈ N, 5 ≤ x < 10} and B = {1, 2, 3, 4, 5}, then n(A - B) is equal to

  1. 1
  2. 2
  3. 4
  4. 5

Sets

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Answer

First, write the sets in roster form:

A = {5, 6, 7, 8, 9}

B = {1, 2, 3, 4, 5}

A - B = {5, 6, 7, 8, 9} - {1, 2, 3, 4, 5} = {6, 7, 8, 9} \quad(Elements in A not in B).

The count n(A - B) = 4.

Hence, option 3 is the correct option.

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