Question #266941

Let D=(3,5,7,9) E=( 0, 4, 6, 9) F=0,3,6,7 . Universal set U = 0,1,2,3,4,5,6,7,8,9.


Draw venn diagram for.


(I) DnEnF


(II) (DUE) Uf

1
Expert's answer
2021-11-17T06:17:32-0500

Let D={3,5,7,9},D=\{3,5,7,9\}, E={0,4,6,9},F={0,3,6,7}.E=\{0, 4, 6, 9\}, F=\{0,3,6,7\} .

Universal set U={0,1,2,3,4,5,6,7,8,9}.U = \{0,1,2,3,4,5,6,7,8,9\}.


(I) It follows that DEF=.D\cap E\cap F=\emptyset.

Let us draw venn diagram for DEF:D\cap E\cap F:




(II) It follows that (DE)F={0,3,4,5,6,7,9}.(D\cup E)\cup F=\{0,3,4,5,6,7,9\}.

Let us draw venn diagram for (DE)F:(D\cup E)\cup F:





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