2. Sets

For each of the following, list all subsets & proper subsets.

$A=\{red,blue\}$

Determine if each statement is true or false. If false, make it true using one of the symbols: ⊂, ⊆, ⊈.

$\{a,b,c\}\subseteq \{a,c,d\}$

Determine if each statement is true or false. If false, make it true using one of the symbols: ⊂, ⊆, ⊈.

$\left\{3,6,9\right\}⊈\{3,6,9,12,18\}$

Determine if each statement is true or false. If false, make it true using one of the symbols: ⊂, ⊆, ⊈.

$\{p,q,r,s\}⊈\{p,q,t,u\}$

For each of the following, list all subsets & proper subsets.

$C=\{2,5,8,11\}$

For each of the following, list all subsets & proper subsets.

$B=\{apple,banana,orange\}$.

Label the Venn diagram with the elements that belong in each set using

$U=\{0,1,2,\dots ,9\},A=\{1,2,3,4,5\},B=\{2,4,6,8\}$

Create a Venn diagram with the elements that belong in each set using $U=\{0,1,2,\dots ,9\},A=\left\{1,2,3,4,5\right\},B=\left\{2,4,3\right\}$

Hint: B⊆A

Determine if each statement is true or false. If false, make it true using one of the symbols: ⊂, ⊆, ⊈.

$\{2,4\}\subseteq \left\{1,2,3,4,5\right\}$