1. 8A, 8B Propositions
Unit 7: Logic and Sets
8A, 8B
6/1/ :59 AM

2. Propositions
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statements which may be true or false represented by lowercase letters cannot be a comment, opinion, or question but can be indeterminate (can be different from person to person) “My age is 47.” Which of the following are propositions? A hexagon has 6 sides. 11 – 5 = 7 Your car is red. Mathematics is important. p T F
8A, 8B
6/1/ :59 AM

3. Negation
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of a proposition is its opposite at the same time in the same situation, will have the opposite truth value It is Taco Tuesday. The dog is Pomeranian. It is not Taco Tuesday. The dog is not Pomeranian. The student earned an A. The student did not earn an A. The student earned a B, C, D, or E. p ¬p T F p T F
8A, 8B
6/1/ :59 AM

4. Compound Propositions
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conjunction: two propositions joined using the word “and” “p and q” conjunction is only true when both propositions are true p: I have work to do. q: All students have work to do. : All students and I have work to do. p q T F p q T F
8A, 8B
6/1/ :59 AM

5. Compound Propositions
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disjunction: two propositions joined using the word “or” inclusive disjunction “p or q” true when one or both propositions are true exclusive disjunction “either p or q, but not both” true when only one of the propositions is true p q T F p q T F p q T F
8A, 8B
6/1/ :59 AM

6. Practice
p. 233: 1(n), 2(b)(j), 3, 4(a)(b)(c) p. 235: 1(b), 3 p. 236: 1(a)(c), 2, 3 p. 238: 1(c), 2, 3(b)(c), 4 - 5, 8 - 9, 11 Read and follow all instructions. List the page and problem numbers alongside your work and answers in your notes. Use the back of the book to check your answers.
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8A, 8B
6/1/ :59 AM