Write the following statements in set notation :
(i) A is not a subset of B
(ii) P is a superset of Q
(iii) E is a proper subset of F.

Answer

To express the given statements in set notation, we will use the appropriate symbols for subsets, supersets, and proper subsets. Let's break down each statement step by step.

### Step-by-Step Solution:

1. **Statement (i): A is not a subset of B**
- The symbol for "is a subset of" is ⊆.
- Therefore, "A is not a subset of B" can be expressed as:
\[ A \nsubseteq B \]

2. **Statement (ii): P is a superset of Q**
- The symbol for "is a superset of" is ⊇.
- Thus, "P is a superset of Q" can be written as:
\[ P \supseteq Q \]

3. **Statement (iii): E is a proper subset of F**
- The symbol for "is a proper subset of" is ⊂.
- Hence, "E is a proper subset of F" can be expressed as:
\[ E \subset F \]

### Final Answers in Set Notation:
- (i) \( A \nsubseteq B \)
- (ii) \( P \supseteq Q \)
- (iii) \( E \subset F \)