# Assume that P ( A ) = P ( B ). Show that A = B

**Solution:**

Let P (A) = P (B)

Let x ∈ A

A ∈ P (A) = P (B)

Therefore, x ∈ C, for some C ∈ P (B)

Now, C ⊂ B

Hence, x ∈ B

So, A ⊂ B

Similarly, B ⊂ A

Therefore, A* = B proved*

NCERT Solutions Class 11 Maths Chapter 1 Exercise ME Question 6

## Assume that P ( A ) = P ( B ). Show that A = B

P (A) = P (B) is given. We have proved that A = B