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Discussion

The symmetric difference of two sets A and B, denoted A Δ B, is defined as:

  • A.(a - b) ∩ (b - a)
  • B.(a ∪ b) - (a ∩ b)
  • C.A - (a ∩ b)
  • D.(a ∪ b)'

Answer: B

The symmetric difference of A and B is the set of elements which are in either of the sets, but not in their intersection.

This can be expressed in two common ways:

1. A Δ B = (A ∪ B) - (A ∩ B)

2. A Δ B = (A - B) ∪ (B - A)

Option B matches the first definition.

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