Respuesta :

Answer:

  • (A∩B')∪(A'∩B)
  • (A∩B)'

Step-by-step explanation:

Here, we'll use an apostrophe to signify the complement of a set.

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(a) The shaded portion is two disjoint (non-overlapping) sections, so must be the union of something. The shaded space on the left is that part of A that is not in B, so it is A∩B'. Similarly, the shaded space on the right is that part of set B that is not in set A: A'∩B. Then the shaded area altogether is the union of these sets:

  (A∩B')∪(A'∩B)

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(b) For this one, it might be easier to identify the unshaded area. That is where the sets A and B overlap, so it is A∩B. Then the area that is not that area is the complement of this:

  (A∩B)'

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