## If x Subset Of Y Then Inverse Of x Also Subset Of Y?

Let \(f : X \rightarrow Y\) be a function. If B is subset of y then its inverse image \(f^-B\) is the subset of x define by

Let \(f : X \rightarrow Y\) be a function. If B is subset of y then its inverse image \(f^-B\) is the subset of x define by

Show that the function

Condider the following two statement

We know that the statement

Distinguish between two statements \((\forall x \in R)\ ( \exists y \in R)\ (x + y = 0 )\ and\ ( \exists y \in R)\ ( \forall x \in R)\ (x + Y = 0)\) Sol...

Graph Graph Theory is the subject of study of graphs, which are mathematical structures used to model pairwise relations between objects.