Consider the following statements :
1. Any set A is comparable with itself .
2. {0} is a singleton set.
3. `{phi}`is a n empty set.
Of these statements, the correct ones are :

Options

A. 1 and 2
B. 2 and 3
C. 1 and 3
D. 1,2 and 3

Answer

To determine which of the statements are correct, let's analyze each statement one by one.

### Step 1: Analyze Statement 1
**Statement 1:** Any set A is comparable with itself.

- A set is considered comparable with another set if one of the sets is a subset of the other.
- Since any set A is equal to itself, it means that all elements of A are in A. Therefore, A is a subset of itself.
- Thus, this statement is **correct**.

### Step 2: Analyze Statement 2
**Statement 2:** {0} is a singleton set.

- A singleton set is defined as a set that contains exactly one element.
- The set {0} contains only one element, which is 0.
- Therefore, this statement is **correct**.

### Step 3: Analyze Statement 3
**Statement 3:** {φ} is an empty set.

- The symbol φ (phi) represents the empty set, which contains no elements.
- However, the set {φ} contains one element, which is the empty set itself (φ).
- Since {φ} has one element (the empty set), it is not an empty set but a singleton set containing the empty set.
- Therefore, this statement is **incorrect**.

### Conclusion
- The correct statements are 1 and 2.
- Therefore, the answer is that statements 1 and 2 are correct.

### Final Answer
The correct statements are: 1 and 2.

---