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Let U be a universal set w.r.t. X, Y and Z sets.Then (X ∩ Y′) ∩ Z′ is equal to

Question

Let U be a universal set w.r.t. X, Y and Z sets.Then (X ∩ Y′) ∩ Z′ is equal to

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Solution

The expression (X ∩ Y′) ∩ Z′ represents the intersection of the set X with the complement of the set Y, and then the intersection of that result with the complement of the set Z.

Here are the steps to solve it:

  1. X ∩ Y′: This represents all the elements that are in set X but not in set Y.

  2. (X ∩ Y′) ∩ Z′: This represents all the elements that are in the result of step 1 (X ∩ Y′) but not in set Z.

So, (X ∩ Y′) ∩ Z′ is the set of all elements that are in X, but not in Y or Z.

This problem has been solved

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