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 $A \not\subset B$ and $B \not\subset C,$ then $A \not\subset C$
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 $A \not\subset B$ and $B \not\subset C,$ then $A \not\subset C$
False
Let $A=\{1,2\}, B=\{0,6,8\},$ and $C=\{0,1,2,6,9\}$
Accordingly, $A \not\subset B$ and $B \not\subset C$.
However, $A \not\subset C$
Similar Questions
State whether each of the following set is finite or infinite :
The set of animals living on the earth
State whether each of the following set is finite or infinite :
The set of animals living on the earth
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$\{ \{ 3,4\} \} \subset A$
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$\{ \{ 3,4\} \} \subset A$
Let $A$ and $B$ be two non-empty subsets of a set $X$ such that $A$ is not a subset of $B$, then
Let $A$ and $B$ be two non-empty subsets of a set $X$ such that $A$ is not a subset of $B$, then
Write the following intervals in set-builder form :
$\left( { - 3,0} \right)$
Write the following intervals in set-builder form :
$\left( { - 3,0} \right)$
Which of the following are examples of the null set
$\{ x:x$ is a natural numbers, $x\, < \,5$ and $x\, > \,7\} $
Which of the following are examples of the null set
$\{ x:x$ is a natural numbers, $x\, < \,5$ and $x\, > \,7\} $