Examine whether the following statements are true or false :
$\{ a,b\} \not\subset \{ b,c,a\} $
Examine whether the following statements are true or false :
$\{ a,b\} \not\subset \{ b,c,a\} $
False. Each element of $\{a, b\}$ is also an element of $\{b, c, a\}$
Similar Questions
State which of the following sets are finite or infinite :
$\{ x:x \in N$ and ${x^2} = 4\} $
State which of the following sets are finite or infinite :
$\{ x:x \in N$ and ${x^2} = 4\} $
Let $S=\{1,2,3, \ldots, 40)$ and let $A$ be a subset of $S$ such that no two elements in $A$ have their sum divisible by 5 . What is the maximum number of elements possible in $A$ ?
Let $S=\{1,2,3, \ldots, 40)$ and let $A$ be a subset of $S$ such that no two elements in $A$ have their sum divisible by 5 . What is the maximum number of elements possible in $A$ ?
- [KVPY 2012]
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 $A \in B,$ 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 $A \in B,$ then $x \in B$
Assume that $P(A)=P(B) .$ Show that $A=B$.
Assume that $P(A)=P(B) .$ Show that $A=B$.
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$\{1,2,5\}\subset A$
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$\{1,2,5\}\subset A$