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Let $U = \{a, b, c, d , e, f , g\}$ be the universe, $A = \{a, b, c, d , e\} , B = \{a, c, e, g\}$ and $C = \{b, e, f , g\}$ are sets. Compute the following

  •  $A^c \cup B$ 
  • $A^c \cup B^c \cup C$ 
  • ${(A \cup B)}^c $ 
  • $n({A}^c \cap {C}^c)$ 
in Mathematics by Wooden (2,058 points) | 61 views

2 Answers

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Best answer
1. f, g + a, c, e, g = ( a, c, e ,f, g)

2. f, g + b, d, f + b, e, f, g = ( b, d, e, f, g)

3. AUB complement = (f)

4. f, g  and a, c, d = null set

n= 0
by Diamond (43,672 points)
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(a) {f,g} union sign {a,c,e,g} = {a,c,e,f,g}

(b) {f,g} union sign { b,d,f} union sign {b,e,f,g} = {b,d,e,f,g}

(c) f

(d) n({f.g} intersection sign {a,c,d}) = {b,d,e,f,g} = 0
by Wooden (738 points)

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