Consider the following argument.  If you drink coffee, then you do not relax and do not sleep.    Relaxing or sleeping is necessary for not worrying.   You drink coffee.  Therefore, you worry.   a. Use the symbols below to write the argument in symbolic form. p: You drink coffee. r:  You relax. s: You sleep w:  You worry   b. Use a truth table to test the validity of the argument

An argument is expressed in English below. Catalina is sleepy or Catalina is not shocked. Catalina is excited. : Catalina is excited or Catalina is sleepy. Variable names are assigned to each English phrase as follows: •p: Catalina is excited •q: Catalina is shocked •r: Catalina is sleepy What is the form of the argument? Pick Pick v : Pick v

p = I am tired q = Class is early If I am tired then class is early. This is an early class. Therefore, I am tired. Write the argument using logic symbols, then show if the argument is valid or invalid.

1. Given the argument: If Peter is a math major, then peter must take Math 3110 Peter took Math 3110 .. Peter is a Math major (a) Write the argument form. (define all variables) (b) Use truth tables to check the validity of the argument. (c) Explain why the argument is valid or invalid.

(Discrete Mathematics) Consider the argument form (p∧q)⟷(p∨q) ∴p⟶q Use a truth table to determine whether this is a valid argument form.   Answer "True" if the argument form is valid and "False" is it is invalid.

Use the statements and truth table to determine which statements are equivalent. p: It is a university. q: It offers a degree in electrical engineering. pqpqpq ~p → ~qqp ~q→ ~p TT FL וד F T T T T TF F T F T T F FT T FL T F FL T FF T T T T T T If it offers a degree in electrical engineering, then it is a university. If it is a university, then it offers a degree in electrical engineering. If it offers a degree in electrical engineering, then it is a university. It is a university, and it offers a degree in electrical engineering. If it offers a degree in electrical engineering, then it is a university. If it is not a university, then it does not offer a degree in electrical engineering. If it is a university, then it does not offer a degree in electrical engineering. It is a university, or it offers a degree in electrical engineering.

Use a truth table to determine if the argument is valid or invalid. Justify your answer.p → q ~q ∴ ~p