Answer to Question #331759 in Discrete Mathematics for Bjoy

Question

Directions: Read each statement carefully, show your complete solution if needed.

1. Write the Converse, Inverse, and Contrapositive of: "If 25 is an integer, then 25 is a rational number."

2. Use De Morgan's laws to write the given statements in their equivalent form: "Either I will not vote for you or I will not campaign for you"

3. Use a truth table to show that p ‹—› q = [(p —› q) ^ (q —› p)].

4. Write the argument in symbolic form (row form), use a truth table to determine if the argument is valid or invalid.

5. Use Euler diagram to determine whether the argument is valid or invalid. "All square are not triangles. Some triangles are equilateral. All squares are not equilateral."