number 3 please 3. (a) If pA~q is true, determine the truth values of p and...
7. Assume that p represents a true statement, q a false statement, and r a true statement. Determine the truth value of the following statement. ro(paq)
Determine the truth value of the statement (p V-) A [-(p Ar)] using the following conditions. a) p is false, 9 is false, and r is false. b) p is false, q is true, and r is true. a) If p is false, q is false, and ris false, what is the value of (p V-) A (-(PA r)]? O O False True b) If p is false, 9 is true, and r is true, what is the value of...
please answer 4. [3 marks] Using truth-table, determine whether p Therefore, they are not. (q ) and p q r) are equivalent.
Find the truth value of the statement. Assume that p and q are false, and r is true. 15) -(19) ►-9 A) True B) False Use a truth table to decide if the statements are equivalent. 16) q→P; - Vp A) Not equivalent B) Equivalent
Discrete Math Answer all questions on another sheet of paper. You do not need to print out or recopy the questions. Please skip lines and write legibly. Reading Worksheet-Sections 2.1 and 2.2 1. s the sentence below a "proposition"? Why or why not? Maurice is enrolled in Discrete Math this semester. 2. Let p: "Arnold likes to read science fiction." Let q: "Arnold is a baseball player." a) If p is false and q is true, what can you say...
QUESTION 23 The statements P + (Q v R) and (P +Q) v (P + R) are logically equivalent. True False QUESTION 24 The statements (P^Q) + Rand (P + R)^(Q + R) are logically equivalent. True False QUESTION 25 ( PQ) and PA-Q are logically equivalent statements True False QUESTION 26 According to De Morgan's Laws, (PAQ) is logically equivalent to 7P ^ 70. True False
Please upload a picture of your work. For problems 1-3 complete the truth table for the following statements and determine if they are logically equivalent. For 4-6 use a truth table to determine if the argument is valid. 1.-(PAQ) and Pv-Q 2. P-Q and QP 3.P-Q and -PVQ 4.P-Q 5. ( PQ) - Q P 6. PvQ QR PVR FB I U
Write the negation of the statement Remember that the negation of p q is pA q If you want to be happy for the rest of your life, never make a pretty woman your wife. Choose the correct answer below O A. You want to be happy for the rest of your life and you do not make a pretty woman your wife O B. You want to be happy for the rest of your life and you make a...
2. (a) Show that (PVQ) + R is not logically equivalent to (P + R) V(Q + R) using a truth table. (b) Is (PAQ) → R logically equivalent to (P + R) A( Q R )? If so, use a truth table to establish this. If not, show that it is false.
5.) Logic problems. List the truth values of the two statements of problems (a) and the truth value of the statement of problem (b) in terms of the truth values of P and Q. a.) Determine if the following pairs of logical statements are equivalent. Show why they are or are not equivalent. i. (( P) ^ Q) ) P; ii. (P _ ( Q)): b.) Determine if the following statement is a tautology. Show why it is or is...