7. Find a proposition with three variables p, q, and r that is true when p and r

7. (p)and(-q)and(r) 8. -[(p OR q) and (p OR q) and (p OR r)] 9. (p)and(-p)and(q)and(r) remaining questions i couldnt see the symbol of propositions.

ID: 3543219 • Letter: 7

Question

7. Find a proposition with three variables p, q, and r that is true when p and r are true and q is false, and

false otherwise. (2 points)

8. Find a proposition with three variables p, q, and r that is true when at most one of the three variables

is true, and false otherwise. (2 points)

9. Find a proposition with three variables p, q, and r that is never true.

10. Determine whether p ? (q ? r) and p ? (q ? r) are equivalent.

11. Determine whether p ? (q ? r) is equivalent to (p ? q) ? r.

12. Determine whether (p ? q) ? (

(p)and(-q)and(r)

-[(p OR q) and (p OR q) and (p OR r)]

(p)and(-p)and(q)and(r)

remaining questions i couldnt see the symbol of propositions.

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.