If A = {1, 2, 3, 5, 7} and U = {1, 2, 3, 4, 5, 6 ,7} then find A' where U is the universal set?

  1. {1, 3, 5}
  2. {4, 6}
  3. {5, 6, 7}
  4. None of these

Answer (Detailed Solution Below)

Option 2 : {4, 6}
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Detailed Solution

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CONCEPT:

Complement of a set:

Let A be any set. Then complement of A is denoted by A’ or Ac such that A’ = {x: x ∉ A} = U – A, where U is the universal set.

CALUCLATION:

Given: A = {1, 2, 3, 5, 7} and U = {1, 2, 3, 4, 5, 6 ,7}

As we know that, if A is any set then A’ = {x: x ∉ A} = U – A, where U is the universal set.

⇒ A' = U - A = {4, 6}

Hence, the correct option is 2.

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