8A, 8B Propositions Unit 7: Logic and Sets 8A, 8B 6/1/2019 11:59 AM

Propositions Copy 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 6/1/2019 11:59 AM

Negation Copy 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 6/1/2019 11:59 AM

Compound Propositions Copy 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 6/1/2019 11:59 AM

Compound Propositions Copy 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 6/1/2019 11:59 AM

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. Copy 8A, 8B 6/1/2019 11:59 AM