Soalan 8:
Gambar rajah Venn menunjukkan set semesta ξ, set P, set Q dan R. Diberi n(Q) = n(P ∪ R)’, tentukan n(ξ).
Penyelesaian:
$$ \begin{aligned} n(Q) & =n(P \cup R)^{\prime} \\ 2+1+5+4 k & =4 k+2 k \\ 8+4 k & =6 k \\ -2 k & =-8 \\ 2 k & =8 \\ k & =\frac{8}{4} \\ k & =2 \end{aligned} $$
$$ \begin{aligned} n(\xi) & =3+2+1+5+k+4 k+2 k \\ & =11+7 k \\ & =11+7(4) \\ & =39 \end{aligned} $$
Gambar rajah Venn menunjukkan set semesta ξ, set P, set Q dan R. Diberi n(Q) = n(P ∪ R)’, tentukan n(ξ).
Penyelesaian:
$$ \begin{aligned} n(Q) & =n(P \cup R)^{\prime} \\ 2+1+5+4 k & =4 k+2 k \\ 8+4 k & =6 k \\ -2 k & =-8 \\ 2 k & =8 \\ k & =\frac{8}{4} \\ k & =2 \end{aligned} $$
$$ \begin{aligned} n(\xi) & =3+2+1+5+k+4 k+2 k \\ & =11+7 k \\ & =11+7(4) \\ & =39 \end{aligned} $$