Make correct statements by filling in the symbols $\subset$ or $ \not\subset $ in the blank spaces:
$\{ x:x$ is a circlein the plane $\} \ldots \{ x:x$ is a circle in thesame plane with radius $1$ unit $\} $
$\{ x:x$ is a circle in the plane $\} \not\subset \{ x:x$ is a circle in thesame plane with radius $1$ unit $\} $
What universal set $(s)$ would you propose for each of the following :
The set of right triangles
Which of the following are sets ? Justify your answer.
The collection of all boys in your class.
Write the following intervals in set-builder form :
$\left( { - 3,0} \right)$
Examine whether the following statements are true or false :
$\{ a,b\} \not\subset \{ b,c,a\} $
In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
If $A \subset B$ and $x \notin B,$ then $x \notin A$