MATH15Amidtermsol

# MATH15Amidtermsol - Name(Last First Please circle your...

This preview shows pages 1–3. Sign up to view the full content.

Name (Last, First) SOLUTIONS Please circle your section: A01 A02 A03 A04 5 PM 6 PM 7 PM 8 PM Math 15A Midterm Briggs Fall Quarter 2004 No books, notes, calculators, or any unauthorized assistance is permitted on this exam. Read each question carefully, answer each question completely, and show all of your work. Write your solutions clearly and legibly; no credit will be given for illegible solutions. To receive full credit on your proofs, please comply with the writing guidelines as discussed in class. If a question is not clear, ask for clarification. GOOD LUCK! 1. ( 15 points ) Determine whether the following argument is valid. P ( Q R ) P ∨ ∼ Q R Q Q Solution: An argument form is valid provided that the truth of the premises guarantee the truth of the conclusion. We see in the following truth table for the given argument form, there are four cases in which all three premises are true, denoted by “critical row”. Because there are instances in which all three premises are true and the conclusion is false, the argument is INVALID. premise premise premise conclusion P Q R Q R Q P ( Q R ) P ∨ ∼ Q Q T T T F T T T T T T F F T T T T T F T T T T T F T F F T F F T F F T T F T T F T F T F F T T F T F F T T T T T F F F F T F T T F ←- critical row ←- critical row ←- critical row ←- critical row

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2. (
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern