1. Give a logical expression with variables p, q, and r that is only true if p and q are false and r is true

2. Write a truth table for the proposition: ~ (p ^ q) p q

note:

^ = and.

= or.

~ = not.

3. Consider the following propositions:

p: My program has a logical error q: My program being run with an incomplete data set.

Write a logical expression for the proposition:

My program does not have a logical error but my program is not being run with an incomplete data set.