In the context of a power set containing a su | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Let $S$ be a power set. For any set $A \in S$,we know that $A \subseteq A$. Therefore,the relation '$\subseteq$' is reflexive.If $A \subseteq B$ a

Vedclass · Accepted Answer

Reflexive

Vedclass · Answer

(C) Let $S$ be a power set. For any set $A \in S$,we know that $A \subseteq A$. Therefore,the relation '$\subseteq$' is reflexive.If $A \subseteq B$ and $B \subseteq C$,then $A \subseteq C$. Therefore,the relation '$\subseteq$' is transitive.However,if $A \subseteq B$,it does not necessarily imply that $B \subseteq A$ (unless $A = B$). Therefore,the relation '$\subseteq$' is not symmetric.Since the relation is reflexive and transitive but not symmetric,it is not an equivalence relation. Thus,the correct property is that it is reflexive.

In the context of a power set containing a subset,the relation 'is a subset of' $(\subseteq)$ is:

Similar Questions

If $A = \{1, 2, 3\}$ and $B = \{1, 4, 6, 9\}$,and $R$ is a relation from $A$ to $B$ defined by "$x$ is greater than $y$",then the range of $R$ is:

Define a relation $R$ on the set $N$ of natural numbers by $R = \{(x, y) : y = x + 5, x \text{ is a natural number less than } 4; x, y \in N\}$. Depict this relationship using roster form. Write down the domain and the range.

$R$ is a relation from $\{11, 12, 13\}$ to $\{8, 10, 12\}$ defined by $y = x - 3$. Then ${R^{ - 1}}$ is

Let $A = \{1, 2, 3, 4\}$,$B = \{1, 5, 9, 11, 15, 16\}$,and $f = \{(1, 5), (2, 9), (3, 1), (4, 5), (2, 11)\}$. Is $f$ a relation from $A$ to $B$? Justify your answer.

If $n(A) = 2$ and the number of relations from set $A$ to set $B$ is $1024$, then $n(B)$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module