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 $A \in C$
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 $A \in C$
False
Let $A=\{2\}, B=\{0,2\},$ and $C=\{1,\{0,2\}, 3\}$
As $A \subset B$
$B \in C$
Similar Questions
Consider the sets
$\phi, A=\{1,3\}, B=\{1,5,9\}, C=\{1,3,5,7,9\}$
Insert the symbol $\subset$ or $ \not\subset $ between each of the following pair of sets:
$A, \ldots B$
Consider the sets
$\phi, A=\{1,3\}, B=\{1,5,9\}, C=\{1,3,5,7,9\}$
Insert the symbol $\subset$ or $ \not\subset $ between each of the following pair of sets:
$A, \ldots B$
Which of the following are sets ? Justify your answer.
A team of eleven best-cricket batsmen of the world.
Which of the following are sets ? Justify your answer.
A team of eleven best-cricket batsmen of the world.
Write the following intervals in set-builder form :
$\left( {6,12} \right]$
Write the following intervals in set-builder form :
$\left( {6,12} \right]$
Write down all the subsets of the following sets
$\{ a,b\} $
Write down all the subsets of the following sets
$\{ a,b\} $
Which of the following sets are finite or infinite.
$\{1,2,3, \ldots 99,100\}$
Which of the following sets are finite or infinite.
$\{1,2,3, \ldots 99,100\}$