Let A, B and C be three sets. If `A in B`and `BsubC`. is it true that `AsubC`? If not give an example.

Explanation

To determine whether the statement "If \( A \in B \) and \( B \subset C \), then \( A \subset C \)" is true, we need to analyze the definitions of the symbols involved and provide a step-by-step solution.

### Step-by-Step Solution:

1. **Understanding the Symbols**:
- \( A \in B \) means that set \( A \) is an element of set \( B \). This implies that \( B \) contains \( A \) as a single entity, not necessarily that the elements of \( A \) are in \( B \).
- \( B \subset C \) means that every element of set \( B \) is also an element of set \( C \).

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