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Consider the sets x and y. Write the statement in symbols: the intersection of the complements of x and y?

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Final answer:

The intersection of the complements of sets x and y is denoted as (x^c ∩ y^c), where x^c and y^c are the complements of x and y, respectively, and the symbol ∩ represents the intersection of two sets.

Step-by-step explanation:

The statement in symbols for the intersection of the complements of sets x and y is written as (xc ∩ yc).

Here's a step-by-step breakdown of the expression:

  • xc represents the complement of set x.
  • yc represents the complement of set y.
  • The symbol ∩ denotes the intersection of two sets.
  • Therefore, (xc ∩ yc) signifies the set containing all elements that are in both the complement of x and the complement of y.

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