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Draw a conclusion for the statement if possible.



If it is Monday, then the library is closed. Today is Tuesday

(1 point)
Responses

The library is closed
The library is closed

The library is not closed
The library is not closed

The library is neither open nor closed.
The library is neither open nor closed.

It is not possible to draw a conclusion.
It is not possible to draw a conclusion.
Question 2
Draw a conclusion for the statement if possible.



If a coin is a quarter, then it is worth 25 cents. If a coin is worth 25 cents, then 4 would make a dollar.

(1 point)
Responses

If I have a coin, then I have a quarter.
If I have a coin, then I have a quarter.

If a coin is a quarter, then 4 would make a dollar.
If a coin is a quarter, then 4 would make a dollar.

If it is worth 25 cents, it is a coin.
If it is worth 25 cents, it is a coin.

It is not possible to draw a conclusion.

1 answer

For the first statement:

"If it is Monday, then the library is closed. Today is Tuesday."

  • The conclusion is: The library is not closed. Since today is Tuesday, the condition for Monday is not met, so we cannot conclude that the library is closed.

For the second statement:

"If a coin is a quarter, then it is worth 25 cents. If a coin is worth 25 cents, then 4 would make a dollar."

  • The conclusion is: If a coin is a quarter, then 4 would make a dollar. This conclusion can be drawn based on the transitive property of the statements provided.

So, to summarize:

  1. The library is not closed.
  2. If a coin is a quarter, then 4 would make a dollar.