State whether the Law of Detachment or the Law of Syllogism was used to draw the conclusion from the given statements. If it's an invalid conclusion, write invalid 10. Given: If a number is a whole number, then it is an integer. Given: 3 is an integer Conclusion: 3 is a whole number

11. Given: If the Patriots win their next game, then they will win their division.
Given: If the Patriots win their next game, then they will go to the playoffs. Conclusion: If the Patriots win their division, then they will go the playoffs.

12. Given: If two lines are parallel, then they never intersect.
Given: If two lines never intersect, then they have the same slope. Conclusion: If two lines are parallel, then they have the same slope.

13. Given: If you sell $1000 worth of popcorn, then your Boy Scout dues are free.
Given: Ethan sold $1000 worth of popcorn. Conclusion: Ethan's Boy Scout dues are free.

14. Given: If you are at least 18 years old, then you can apply for a credit card.
Given: Kelly is iq years old Conclusion: Kelly can apply for a credit card