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Exercise

Operations on sets

Putting the information on sets in more mathematical terms, we can define the following operations given two sets \(X\) and \(Y\):

  \(X\cap Y\) - the intersection between \(X\) and \(Y\) (all elements which are in both \(X\) and \(Y\))

  \(X\cup Y\) - the union between \(X\) and \(Y\) (all elements which are either in \(X\) or \(Y\))

  \(X - Y\) - the difference between \(X\) and \(Y\) (all elements which are in \(X\) but not in \(Y\))

You are given 5 sets of integers A, B, C, D,E. What is the result of the following expression? $$ \left( A \cup \left( B \cap C \right)\right) - \left(D \cap E\right) $$

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50 XP
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