Questions: Consider the set Alabama, Alaska, Arizona,...., Wyoming. What does the "..." represent? Choose the correct answer below. A. It represents Colorado, California, Florida, and Mississippi. These are the only logical states that they can represent. B. It represents the other 46 states of the United States. Because the list is alphabetical, there is a basic manner by which the remaining members can be determined. C. It represents Colorado, California, Florida, and Mississippi. These are the only other states that can be in this set. D. It represents the other 46 states of the United States, because all the members shown are states. E. It represents the fact that we don't know the other members of the set, because there is no rule to determine the missing members. F. It represents the fact that we don't know the other members of the set, because there are too many members to know what the set should look like.

Consider the set Alabama, Alaska, Arizona,...., Wyoming.
What does the "..." represent?

Choose the correct answer below.
A. It represents Colorado, California, Florida, and Mississippi. These are the only logical states that they can represent.
B. It represents the other 46 states of the United States. Because the list is alphabetical, there is a basic manner by which the remaining members can be determined.
C. It represents Colorado, California, Florida, and Mississippi. These are the only other states that can be in this set.
D. It represents the other 46 states of the United States, because all the members shown are states.
E. It represents the fact that we don't know the other members of the set, because there is no rule to determine the missing members.
F. It represents the fact that we don't know the other members of the set, because there are too many members to know what the set should look like.
Transcript text: Consider the set \{Alabama, Alaska, Arizona,...., Wyoming\}. What does the "..." represent? Choose the correct answer below. A. It represents Colorado, California, Florida, and Mississippi. These are the only logical states that they can represent. B. It represents the other 46 states of the United States. Because the list is alphabetical, there is a basic manner by which the remaining members can be determined. C. It represents Colorado, California, Florida, and Mississippi. These are the only other states that can be in this set. D. It represents the other 46 slytes of the United States, because all the members shown are states. E. It represents the fact that we don't know the other members of the set, because there is no rule to determine the missing members. F. It represents the fact that we don't know the other members of the set, because there are too many members to know what the set should look like.
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Solution

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Solution Steps

The question is asking about the representation of the "..." in the set of U.S. states listed alphabetically. The correct answer should identify that the "..." represents the remaining states in alphabetical order.

Step 1: Identify the Set of States

The set of states provided is \(\{ \text{Alabama}, \text{Alaska}, \text{Arizona}, \ldots, \text{Wyoming} \}\). The "..." indicates that there are additional states that follow in alphabetical order.

Step 2: Determine the Remaining States

The complete list of U.S. states contains a total of \(50\) states. The states listed before the "..." are the first \(3\) states: Alabama, Alaska, and Arizona. The last state in the list is Wyoming, which is the \(50^{th}\) state. Therefore, the "..." represents the states from the \(4^{th}\) to the \(49^{th}\) positions in the alphabetical list.

Step 3: Conclusion

The "..." represents the other \(46\) states of the United States, as they are the remaining members of the set when considering the alphabetical order.

Final Answer

The answer is B. \\(\boxed{B}\\)

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