Determine whether the statement below is true or false.
If $A \subseteq B$ and $d \in B$, then $d \in A$
Choose the correct answer below.
A. The statement is true.
B. The statement is false. The correct statement is If $A \subseteq B$ and $d \in A$, then $d \in B$.
Answer
Final Answer: \(\boxed{\text{B}}\)
Step 1 ：Determine whether the statement below is true or false. If $A \subseteq B$ and $d \in B$, then $d \in A$
Step 2 ：The statement is saying that if set A is a subset of set B and if an element d is in set B, then d is in set A. This is not necessarily true. Just because A is a subset of B, it doesn't mean that every element in B is in A. It only means that every element in A is in B.
Step 3 ：So, the statement is false. The correct statement is 'If $A \subseteq B$ and $d \in A$, then $d \in B$'.
Step 4 ：Final Answer: \(\boxed{\text{B}}\)
