39. Consider the argument: Premise 1: p v – q Premise 2: - 9 Conclusion: p AGLIO C TTY Which truth values of p and q is the argument, written as a conditional, true? i. pis false; q is true ii, pis true; q is false iii. p is true; q is true A. i only B. ii only C. ii only D. i, ii and i

Q: Using the indicated method, determine whether the argument is v 1. Use truth table; SA ~T

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: If the statement "If the white flag is flying, then truce hass been declared" is replaced with its…

A: (d) We are asked to find the contrapositive statement of "If the white flag is flying, then the…

Q: Which rule of inference is the base for the argument below? "I take an umbrella if it rains. I…

A: Given statement  I take umbrella if it rains.

Q: 11. Let A: (not p) or (not q), B: not(p or q). Then the truth values of A and B are the same never…

A: Let A:not p or not q  and B: notp or q. Find when the truth values of A and B are same as follows.

Q: Consider statements p and q. p: It is raining. q: Kareem is wearing a coat. (a) Write each statement…

A:

Q: rewrite the argument using the letters and connectives; - determine whether each argument is valid…

A:

Q: 23. Let p and g represent the following statements. p: 8+6 = 14 q: 6 x6 = 72 Determine the truth…

A: Discrete mathematics

Q: 1. Which of the following sentences are propositions? What are the truth values of those that are…

A:

Q: 27. Determine the truth value for the given statement when p is true and q is true. Choose the…

A:

Q: 28. Use a truth table to determine whether the two statements are equivalent. --p--q and q-p Choose…

A:

Q: Construct a truth table for the statement. -r → (q A p)

A: Solution:prepare the following truth table for ~r⇒(q∧p)

Q: 1. Propositions Consider the following propositions: r: It rains; Write the propositions below using…

A: We have to write the proposition using logical operator.

Q: Use a truth table to show that this logical law is a tautology: p V (q Ar) = (p v q) A (p V r)

A:

Q: Construct a truth table for the proposition and determine whether the statement is a contingency, a…

A:

Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.