Question

if U{1,3,5,7,9,11,13} then which of the following are subset of U B={2,4} A={0} D={5,11,1} f={2,3,4,5} E={13,7,9,11,5,3,1}​

Answer 1

Answer:

E={13,7,9,11,5,3,1} is subset to u

Answer 2

$\underline {\pink{Subsets :}}$

$Let \: A \:and \: B\: are \:two \:sets .$

$If \: every \: element \:'A'\: is \:an \: element$

$of \:'B' \: then \:A \:is \: called \:a \:subset \:of$

$B,\: A\subset B \:means \:for \:all \:a\in A$

$\implies a\in B$

$Given \: U = \{ 1,3,5,7,9,11,13\}$

$i ) A = \{ 0\}$

$0 \cancel { \in } U$

$\therefore A \cancel { \subset } U$

$ii) B = \{ 2,4\}$

$2 \cancel { \in } U$

$\therefore B \cancel { \subset } U$

$iii) D = \{ 5,11,1\}$

$Every \:element \: of \: D \: is \:an \: element$

$of \: U .$

$\green { \therefore D \subset U}$

$iv) F = \{ 2,3,4,5 \}$

$2 \cancel { \in } U$

$\therefore F \cancel { \subset } U$

$v) E = \{ 13,7,9,11,5,3,1\}$

$Every \:element \: of \: E \: is \:an \: element$

$of \: U .$

$\green {\therefore E \subset U }$

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