Let A ,B and X be three sets such that `A cap X= B cap X = phi and A cup X = B cup X` .Then show that A=B .

Explanation

To prove that \( A = B \) given the conditions \( A \cap X = \phi \), \( B \cap X = \phi \), and \( A \cup X = B \cup X \), we can follow these steps:

### Step 1: Understand the Given Conditions
We start with the following conditions:
1. \( A \cap X = \phi \) (the intersection of set A and set X is the empty set)
2. \( B \cap X = \phi \) (the intersection of set B and set X is the empty set)
3. \( A \cup X = B \cup X \) (the union of set A and set X is equal to the union of set B and set X)

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