Question

If $A=\text{{even numbers less than 12}}$,
$B=\text{{2, 4}}$,
$C=\text{{1, 2, 3}}$,
$D=\text{{2, 6}}$ and $E=\text{{4}}$
State which of the following statements are true :
(i)$B\subset A$
(ii) $C\subseteq A$
(iii) $D\subset C$
(iv) $D\subset ̸A$
(v)$E\supseteq B$
(vi) $A\supseteq B\supseteq E$

Answer 1

$A=\text{{even numbers less than 12}}=2,4,6,8,10$
$B=\text{{2, 4}}$
$C=\text{{1, 2, 3}}$
$D=\text{{2, 6}}$ and $E=\text{{4}}$
(i) B $\subset$ A is true.
(ii) C$\subseteq$ A is false.
(iii) D$\subset$ C is false.
(iv) D $\subset ̸$ A is false.
(v) E $\supseteq$ B is false
(vi) A$\supseteq$ B$\supseteq$ E is true.