ξ = {a,b,c,d,e,i,o,r,s,t,u,v} A = {c,e,d,a,r} B = {v,i,c,t,o,r,a} 求 A ∩ B 答案 ___ A' ∩ B' 答案 ___ 用集合表示法描述阴影区域。 答案 ___

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完整解法

11(a)(i)

1. Identify the common elements in $A$ and $B$.

A={c,e,d,a,r}A=\{c,e,d,a,r\} and B={v,i,c,t,o,r,a}B=\{v,i,c,t,o,r,a\}.

The elements that appear in both sets are cc, aa and rr.

Hence,
A∩B={a,c,r}.A\cap B=\{a,c,r\}.

答案

{a,c,r}\{a, c, r\}

11(a)(ii)

1. Find the elements that are not in either $A$ or $B$.

A′∩B′A' \cap B' means the elements in ξ\xi that are not in AA and not in BB.

Elements appearing in AA or BB are
{a,c,d,e,i,o,r,t,v}\{a,c,d,e,i,o,r,t,v\}.

From ξ={a,b,c,d,e,i,o,r,s,t,u,v}\xi=\{a,b,c,d,e,i,o,r,s,t,u,v\}, the elements not in either set are
{b,s,u}\{b,s,u\}.

答案

{b,s,u}\{b, s, u\}

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