AMSCO'S Geometry. New York - Rye High School

48 Logic31. I have the hiccups and I drink somewater. (False)I have the hiccups. (False)I drink some water. (?)33. Pam sees a movie and Pam loves goingto the theater. (True)Pam sees a movie. (True)Pam loves going to the theater. (?)35. Jordan builds model trains and modelplanes. (False)Jordan builds model trains. (False)Jordan builds model planes. (?)32. I play tennis and Anna plays golf.(False)I play tennis. (True)Anna plays golf. (?)34. Jon and Edith like to eat ice cream.(False)Jon likes to eat ice cream. (True)Edith likes to eat ice cream. (?)36. Bethany likes to chat and surf on theinternet. (False)Bethany likes to surf on theinternet. (True)Bethany likes to chat on theinternet. (?)In 37 and 38, a compound sentence is given using a conjunction. Use the truth value of the compoundsentence to determine whether each sentence that follows is true or false.37. In winter I wear a hat and scarf. (True)a. In winter I wear a hat.b. In winter I wear a scarf.c. In winter I do not wear a hat.38. I do not practice and I know that Ishould. (True)a. I do not practice.b. I know that I should practice.c. I practice.2-3 DISJUNCTIONSIn logic, a disjunction is a compound statement formed by combining two simplestatements using the word or. Each of the simple statements is called adisjunct. When p and q represent simple statements, the disjunction p or q iswritten in symbols as p ∨ q. For example:p: Andy rides his bicycle to school.q: Andy walks to school.p ∨ q: Andy rides his bicycle to school or Andy walks to school.In this example, when is the disjunction p ∨ q true and when is it false?1. On Monday, Andy rode his bicycle part of the way to school when he meta friend. Then he walked the rest of the way to school with his friend.Here p is true and q is true. The disjunction p ∨ q is true.2. On Tuesday, Andy rode his bicycle to school and did not walk to school.Here p is true and q is false. The disjunction p ∨ q is true.3. On Wednesday, Andy did not ride his bicycle to school and walked toschool. Here p is false and q is true. The disjunction p ∨ q is true.