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If A cancelsub B " and " B cancelsub C ....

If `A cancelsub B " and " B cancelsub C` .Is this statement true ? A is not subset of C

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To determine whether the statement "If A is not a subset of B and B is not a subset of C, then A is not a subset of C" is true or false, we can analyze the situation step by step. ### Step-by-Step Solution: 1. **Understanding the Definitions**: - A set \( A \) is a subset of set \( B \) (denoted \( A \subseteq B \)) if every element of \( A \) is also an element of \( B \). - Conversely, \( A \) is not a subset of \( B \) (denoted \( A \cancel{\subseteq} B \)) if there exists at least one element in \( A \) that is not in \( B \). ...
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