Consider the following statements
I. `phi in {phi}` II. `{phi} sube phi` Which of the statements given above is/are Correct?

Options

A. A. I only
B. B. II only
C. C. Both I and II
D. D. Neither I nor II

Answer

To solve the question, we need to analyze the two statements given:

**Statement I:** `φ in {φ}`
**Statement II:** `{φ} ⊆ φ`

### Step 1: Analyze Statement I
- The statement `φ in {φ}` means that the empty set (φ) is an element of the set that contains the empty set.
- The set `{φ}` is a set that contains one element, which is the empty set itself.
- Therefore, this statement is **correct** because the empty set is indeed an element of the set that contains it.

### Step 2: Analyze Statement II
- The statement `{φ} ⊆ φ` means that the set containing the empty set (which is `{φ}`) is a subset of the empty set (φ).
- A subset means that every element of the first set must also be an element of the second set.
- However, the empty set has no elements, and the set `{φ}` has one element (which is φ).
- Therefore, this statement is **incorrect** because the set `{φ}` cannot be a subset of the empty set.

### Conclusion
- Statement I is correct.
- Statement II is incorrect.
- Thus, the answer to the question is that only Statement I is correct.

### Final Answer
Only Statement I is correct.

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