8. Let p be the statement: "Jing is a senior high school student" and let q be "Jing is over years old". Under which condition or conditions is the statement: "Jing is neither a senior high school student nor over 15 years old" true a. ~p ^ q is true when at least one of p and q is true. b. ~p ^ ~ q is true when both p and q are false. c. ~p ^ q is true when at least one of p and q are false. d. -p ^ ~g is true when both p and q are true. 15

Is the statement ~ (p V q) ^ p a tautology, contradiction, or neither? O Tautology O Neither Contradiction

suppose complete and transitive check whether > and are transitive and reflexive

Determine the truth value of each compound statement when p is false, q is false, and r is true. ~pV (q ^ r) (~ p^r) ^q (~ q ^ ~ p) V ~ r ? (~p V ~ q) V ~ r ? (p^ ~ q) V r ?

Assume that p is false, q is true, and r is false. Compute the truth value for the following expression.  q ^ (~p v r)

Discuss the difference between the symbolic statements ~(p^ q) and ~p ^ q. Choose the correct answer below. O A. The statement ~(p ^ q) means "not p and q", but the statement ~p ^ q means "It is not true that p and q." O B. The statement ~(p ^ q) means "not p or q", but the statement ~p ^ q means "It is not true that p or q." O C. The statement ~(p^ q) means "It is not true that p and q", but the statement ~p ^ q means "not p and q." O D. The statement ~(p ^ q) means "It is not true that p or q", but the statement ~p ^ q means "not p or q."

8.) Write a logical statement representing each circuit. Simplify the statement as much as possible, and draw the simplified circuit. (a) ✩ (p^q)v (p^~q)