Write the following intervals in set-builder form :
$\left( { - 3,0} \right)$
$\left( { – 3,0} \right) = \{ x:x \in R, – 3\, < \,x\, < \,0\} $
State whether each of the following set is finite or infinite :
The set of lines which are parallel to the $x\,-$ axis
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 $B \in C,$ then $A \in C$
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$\{ 3,4\} \in A$
Examine whether the following statements are true or false :
$\{ a,b\} \not\subset \{ b,c,a\} $
Which of the following are sets ? Justify your answer.
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