If U = (s, p, i, e, n, d, o, u, r), X = (s, p, e, n, d) Y = (s, e, n, o, u), Z = (p, n, o, u, r) find X ∩( Y ∪ Z)

  • A (p, o, u, r)
  • B (s, p, d, r)
  • C (s, p, n, e)
  • D (n, d, u)
jamb 1997mathematics

The correct answer is C. (s, p, n, e)

The intersection of two sets is the set of elements that are common to both sets.

The union of two sets is the set of all elements that are in either set or both sets.

So, to find X ∩( Y ∪ Z), we first need to find the union of Y and Z, which is (s, e, n, o, u, p, r).

Then we find the intersection of X and (s, e, n, o, u, p, r), which is (s, p, e, n).

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