Subsets

$\{x:x$ is an even natural number less than $6\}$ $\subset$ $\{x:x$ is a natural number which divides $36\}$.

$\left\{a\right\}\subset \{a,b,c\}$

$\{1,2,3\}\subset \{1,3,5\}$

$\{a,e\}\subset \{x:$$x$ is a vowel in the English alphabet $\}$

Examine the following statement and write the answer.

$\{a,b\}\not\subset \left\{b,c,a\right\}$

Make correct statement by filling ("Subset"/"Not Subset") in the blank spaces:
$\left\{x:x \mathrm{i}\mathrm{s} \mathrm{a}\mathrm{n} \mathrm{e}\mathrm{q}\mathrm{u}\mathrm{i}\mathrm{l}\mathrm{a}\mathrm{t}\mathrm{e}\mathrm{r}\mathrm{a}\mathrm{l} \mathrm{t}\mathrm{r}\mathrm{i}\mathrm{a}\mathrm{n}\mathrm{g}\mathrm{l}\mathrm{e} \mathrm{i}\mathrm{n} \mathrm{a} \mathrm{p}\mathrm{l}\mathrm{a}\mathrm{n}\mathrm{e}\right\}$_____$\left\{x:x \mathrm{is} \mathrm{a} \mathrm{triangle} \mathrm{in} \mathrm{the} \mathrm{same} \mathrm{plane}\right\}$

Make a correct statement by filling "Subset" or "Not Subset" in the blank space:

$\left\{x:x \mathrm{i}\mathrm{s} \mathrm{a} \mathrm{t}\mathrm{r}\mathrm{i}\mathrm{a}\mathrm{n}\mathrm{g}\mathrm{l}\mathrm{e} \mathrm{i}\mathrm{n} \mathrm{a} \mathrm{p}\mathrm{l}\mathrm{a}\mathrm{n}\mathrm{e}\right\}$ _____ $\left\{x:x \mathrm{is} \mathrm{a} \mathrm{rectangle} \mathrm{in} \mathrm{the} \mathrm{plane}\right\}$

Make the statement correct by filling in the words "Subset" or "Not Subset" in the blank space:

$\left\{x:x \mathrm{i}\mathrm{s} \mathrm{a} \mathrm{c}\mathrm{i}\mathrm{r}\mathrm{c}\mathrm{l}\mathrm{e} \mathrm{i}\mathrm{n} \mathrm{a} \mathrm{p}\mathrm{l}\mathrm{a}\mathrm{n}\mathrm{e}\right\}$ _____ $\left\{x:x \mathrm{is} \mathrm{a} \mathrm{circle} \mathrm{in} \mathrm{the} \mathrm{same} \mathrm{plane} \mathrm{with} \mathrm{radius} 1 \mathrm{unit}\right\}$

Make a correct statement by filling the blank with "Subset" or "Not Subset".

$\left\{x:x \mathrm{i}\mathrm{s} \mathrm{a} \mathrm{s}\mathrm{t}\mathrm{u}\mathrm{d}\mathrm{e}\mathrm{n}\mathrm{t} \mathrm{o}\mathrm{f} \mathrm{C}\mathrm{l}\mathrm{a}\mathrm{s}\mathrm{s} \mathrm{X}\mathrm{I} \mathrm{o}\mathrm{f} \mathrm{y}\mathrm{o}\mathrm{u}\mathrm{r} \mathrm{s}\mathrm{c}\mathrm{h}\mathrm{o}\mathrm{o}\mathrm{l}\right\}$_____$\left\{x:x \mathrm{student} \mathrm{of} \mathrm{your} \mathrm{school}\right\}$

Make a correct statement by filling "Subset" or "Not Subset" in the blank space:

$\left\{a,b,c\right\}$ _____  $\{b,c,d\}$

Fill "Subset" or "Not Subset" in the blank space to make it correct:

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

 Write down all the subsets of the following sets:
 $\varphi$

Write down all the subsets of the following set $\left\{1,2,3\right\}$.

Write down all the subsets of the set $\left\{a,b\right\}$.

 Write down all the subsets of the following set.
 $\left\{a\right\}$

 Let $A=\left\{1,2,\left\{3,4\right\},5\right\}.$Check if the following statement is incorrect or not and justify your answer.

$\left\{\varphi \right\}\subset A$

 Let $A=\left\{1,2,\left\{3,4\right\},5\right\}.$ Check if the following statement is incorrect or not and justify your answer.
 $\varphi \subset A$

Let $A=\left\{1,2,\left\{3,4\right\},5\right\}.$ Check if the following statement is incorrect or not and justify your answer.
 $\left\{1,2,3\right\}\subset A$

 Let $A=\left\{1,2,\left\{3,4\right\},5\right\}.$ Check if the following statement is incorrect or not and justify your answer.
$\left\{1,2,5\right\}\subset A$

 Let $A=\left\{1,2,\left\{3,4\right\},5\right\}.$ Check if the following statement is incorrect or not and justify your answer.
 $1\subset A$