4. Restate each proposition in the form p → q. A. Joey will pass the symbolic logic exam if he studies hard. B. A sufficient condition for Katrina to take the algorithms course is that she pass discrete mathematics. C. A necessary condition for Fernando to buy a computer is that he obtain $2000.

Let p and q represent the following statements. p: There are puppies in my room q: I am locked out of my house Which of the following is the English translation of the symbolic notation p∨q?

Alice and Belle are perfect logicians. Each of them is given a different fraction, of the form , where n is a positive integer. They only know their own number and they know it's a different fraction from the other. They need to tell whose number is larger. The following conversation occurs: Alice: "I don't know". Belle: "I don't know either." Alice: "I still don't know." Belle: “Now I know whose number is larger." Alice: "Now I know your number too." Who has the larger number? What is the difference of the denominators? (A) Alice. 1. (B) Alice. 2. (C) Belle. 1. (D) Belle. 2.

5.) Draw a truth table based on the boolean expression: x = a·b · c (x = a nba c)