Let Ix be the statement x has an Internet connection let Cx

Let I(x) be the statement \"x has an Internet connection\", let C(x, y) be the statement \"x and y have chatted over the internet\". Let S be the set of students in your Math 220 class. Express each of the following statements in terms of I(x) and C(x, y), quantifiers, and logical connectives. Put the appropriate letter next to the corresponding symbolic form. x S s.t. y S s.t. (y notequalto x ^~ C(x, y)) x S s.t y S s.t. (y notequalto x ^ z S,~ (C(x, z) ^ C(y, z))) x S,I(x) => y S s.t. (x notequalto y ^ C(x, y)) x S s.t. ~I(x) a) Someone in your class does not have an internet connection. b) There are two students in your class who have not chatted with each other over the internet. c) Everyone in your class with an internet connection has chatted over the internet with at least one other student in your class. d) There are at least two students in your class who have not chatted with the same person in your class.

Solution

For the statement (a) , the correct option is 4.

For the statement (b). the correct option is 1.

For the statement (c), the correct option is 3.

For the statement (d), the correct option is 2.