Question

draw venn diagram to show the relationships between the following pairs or groups of sets E=(2,4,8,16,32) F=(3,32)​

Answer 1

Answer:

what relationship shuld be shown?

Answer 2

$\underline{ \pink{ Venn \: Diagram : }}$

$Given \: Set \: E = \{ 2,4,8,16,32 \} \\and \: Set \: F = \{ 3,32 \}$

$E \cap F\\ = \{ 2,4,8,16,32 \} \cap \{ 3,32 \} \\= \{ 32 \}$

$E \cup F\\ = \{ 2,4,8,16,32 \} \cup \{ 3,32 \} \\= \{ 2,3,4,8,16,32 \}$

$i) n(E) = 5 , n(F) = 2 , \: n(E\cap F) = 1,\\n(E\cup F) = 6$

$n(E)+n(F) - n(E\cap F ) \\= 5 + 2 - 1 \\= 7 - 1 \\= 6\\= n( E \cup F )$

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