Answer to Question #266941 in Discrete Mathematics for Good heart

Question

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

Answer 1

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

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

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

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

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

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