Thanks in advanced

Question 1 Not yet answered Marked out of 5.00 P Flag question Use the De Morgan to write an equivalent English statement for the statement. It is not the case that a pen and a banana are both writing implements. Roger or Emil will attend the game.Question 10 Not yet answered Marked out of 4.00 P Flag question Write the negation of the conditional. Use the fact that the negation of p - q is p ~ ~q. 1) If you give your hat to the doorman, he will give you a dirty look. 2) If she doesn't study, she won't pass her math test.Question 12 Not yet answered Marked out of 9.00 | Flag question If p and q are true statements and r is a false statement, find the truth value of each of the following statements: 3 pts each. 1. (rx~q)-(qvp) 2. ( q-+ p)A q 3. (p ^ q)- (~qp)Question 11 Not yet answered Marked out of 10.00 V Flag question Identify p, q an d r if necessary. Then translate each argument to symbols and use a truth table to determine whether the argument is valid or invalid. ( 10 points) If it rains, then I will watch the marathon. It did not rain. Therefore, I did not watch the marathon. Question 5 Not yet answered Marked out of 5.00 P Flag question Use a truth table to find out whether the following statements are equivalent?( 5 pts) ~p ^~q and ~(p qQuestion 3 Not yet answered Marked out of 10.00 V Flag question State whether True or False: ( 2 pts each) 1. A tautology and a contradiction are sometomes logically equivalent. 2. The negation of a statement has the opposite truth value from the statement itself. 3. For a disjunction to be true, all statements in the disjunction must be true. 4. For a conditional to be true, the premise and the conclusion must be true. 5. The inverse and the converse of a statement are always logically equivalent. Question 13 Not yet answered Marked out of 12.00 '(1 Flag question Rewrite using the if...then connective: ( 2 pts each) a. No turkeys like Thanksgiving. b. Practice is necessary for making the team. c. Cats chase mice For part c write the inverse, converse and contrapositive. Question 6 Not yet answered Marked out of 4.00 Flag question Identify the following statements as a conjunction, disjunction, conditional or Biconditional. (2 pts each) a. I will go to the game or I will go to the library. b. A triangle is equiangular if and only if three angles are congruent.Question 8 Not yet answered Marked out of 15.00 | Flag question Determine if the following statements is a tautology, contradiction or neither.( 5 pts each) Build truth tables a. (p-q)(pvq) b. (p q)-p C. (PAq)-(~qAP)Question 7 Not yet answered Marked out of 400 \\{7 Flag question What is the only possible case/s in which the statement ( p " ~ q) V ~ r is true?( 4 pts) Question 9 Not yet answered Marked out of 8.00 \\7 Flag question Is the argument valid or invalid? ( 8 points) ~ClVP Therefore ~q p Question 2 Not yet answered Marked out of 6.00 P Flag question Let p represent 7 ~p, state the (3 points each) a. inverse: b. converse: c. Contrapositive