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Practice Problems Period: ________ Date: ____________

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Combine the statements using the Law of Syllogism or the Law of Detachment:

1) If Mel is not in 10th grade then Val doesn't like peanuts.
Mel is in 10th grade.



2) If Bill likes football then Pierce is married.
If the team does not play on Monday then Pierce is not married.
3) If Ralph doesn't do homework after dinner then Jamie does not have a red hat.
If it is raining then Jamie has a red hat.



4) The team plays on Friday.
If the team plays on Friday then Rebecca woke up early.
5) If Wendy doesn't like peanuts then it is raining.
If Lacey has a red hat then it is not raining.



6) If it is 1:00 pm then Fernando goes to the store.
If it is 1:00 pm then Wendy woke up early.
7) If the dog doesn't need to go out then Don does not like surfing the web.
If the dog doesn't need to go out then Lenny went to the store.



8) If the pen is not blue then Harry doesn't like football.
If Val likes football then the pen is not blue.
9) Kim does not like surfing the web.
If Kim does not like surfing the web then Eugene doesn't like football.



10) Cathy was not playing games.
If Val does not have a red hat then Cathy was not playing games.

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