Problem

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 $d \in B$.

Solution

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: \(\boxed{\text{B}}\)

From Solvely APP
Source: https://solvelyapp.com/problems/16558/

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