Discrete Math Help! 1. Fill in the blank in the statements below: (a) An argumen

Question

Discrete Math Help!

1. Fill in the blank in the statements below:

(a) An argument is valid if and only if ______________.

(b) The argument with premises p and p q and conclusion q is called _______________.

(c) If premises q and p q are given and someone concludes p is called _____________.

(d) A corollary is ____________.

2. Use the rules of inference to prove p s, given the following premises. Write your solution as a numbered sequence of statements. Identify each statement as either a premise, or a conclusion that follows according to a rule of inference from previous statements. In that case, state the rule of inference and refer by number to the previous statements that the rule of inference used.

(1) ¬r

(2) s

(3) q r

(4) q p

3. Prove or disprove the following statements.

(a) There exists a real number x such that x 2 > x + 9.

(b) For all integer x 6= 1 there exists an integer y such that xy = 6x + y.

4. Let m be an odd integer and n be an even integer. Prove that their sum is odd.

5. Use proof by contraposition to show that if mn is even then m is even or n is even.

Explanation / Answer

Discrete Math Help! 1. Fill in the blank in the statements below: (a) An argumen

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

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