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 $x \in A$ and $A \not\subset B$, then $x \in B$
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 $x \in A$ and $A \not\subset B$, then $x \in B$
False
Let $A=\{3,5,7\}$ and $B=\{3,4,6\}$
Now, $5 \in A$ and $A \not\subset B$
However, $5 \notin B$
Similar Questions
Assume that $P(A)=P(B) .$ Show that $A=B$.
Assume that $P(A)=P(B) .$ Show that $A=B$.
The smallest set $A$ such that $A \cup \{1, 2\} = \{1, 2, 3, 5, 9\}$ is
The smallest set $A$ such that $A \cup \{1, 2\} = \{1, 2, 3, 5, 9\}$ is
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:
$B \ldots \cdot C$
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:
$B \ldots \cdot C$
Write the following as intervals :
$\{ x:x \in R, - 12\, < \,x\, < \, - 10\} $
Write the following as intervals :
$\{ x:x \in R, - 12\, < \,x\, < \, - 10\} $
Which of the following are sets ? Justify your answer.
A collection of novels written by the writer Munshi Prem Chand.
Which of the following are sets ? Justify your answer.
A collection of novels written by the writer Munshi Prem Chand.