Which of the following is a ture statement ?

Options

A. `{a} in {a,b,c}`
B. `{a} sube{a,b,c}`
C. `phi` in {a,b,c}
D. All of these

Answer

To determine which of the statements is true, let's analyze each option step by step.

### Step 1: Analyze Option 1
**Statement**: Set A belongs to the set {A, B, C}.

- **Explanation**: This statement is asking if the set A is an element of the set containing A, B, and C.
- **Evaluation**: If we consider the set {A, B, C}, it contains the elements A, B, and C. Since A is indeed one of the elements in the set, this statement is true.

### Step 2: Analyze Option 2
**Statement**: Set A is a subset of the set {A, B, C}.

- **Explanation**: A set X is a subset of a set Y if every element of X is also an element of Y.
- **Evaluation**: If A contains elements that are also in the set {A, B, C}, then it is a subset. Since A is one of the elements in {A, B, C}, this statement is also true.

### Step 3: Analyze Option 3
**Statement**: The empty set (∅) belongs to the set {A, B, C}.

- **Explanation**: The empty set is a set that contains no elements. The statement is asking if the empty set is an element of the set {A, B, C}.
- **Evaluation**: The empty set is a subset of every set, including {A, B, C}. However, it is not an element of {A, B, C}. Therefore, this statement is false.

### Conclusion
- **Final Evaluation**:
- Option 1: True
- Option 2: True
- Option 3: False

Thus, the true statements are Option 1 and Option 2.