Let f be a function from A to B. Let S and T be subsets of B. Show that

Step 1 :

In this problem we have to the prove the following properties.

Let and and be subset of

Then prove that

Step 2 :

We prove this by if and only if relation

Consider

Now

We know that

Hence the definition of inverse,

we have to use this fact in this problem

.’.

Hence by equation (1) and (2)