Respuesta :

a) {1,5,6,7,8}

b) {5}

c)  {1,2,4}

d) {} = empty set

Step-by-step explanation:

  • It is based on set theory.
  • To find "a" first simplify within brackets.
  • A' = everything apart from A which is {5,6,7,8} even universal.
  • B'= everything apart from B which is {1,2,7,8}
  • C'= everything apart from C which is {1,4,5,8}
  • The notation "n" is intersection anything that is common in both.
  • The notation "U" is "Union" everything within both.
  • Rule if Union has more than one common it would still be mentioned.
  • As one won't be written as twice.
  • (B'nC') apart from B and apart from C the common in both is {1,8}
  • A' U {1,8} apart from A  union all in (B'nC')= {1,5,6,7,8}
  • (BnC') same all of B intersection everything apart from C.
  • A'n(BnC') = {5}
  • (B'UC') = everything apart from B and C common in A n(B'UC') ={1,2,4}
  • (AUBUC)' union all ABC but a complement gives 8.
  • (AUBUC) union all ABC but not universal number{1,2,3,4,5,6,7}
  • Intersection between them gives empty set as both are not common.

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