Proof by contrapositive Study guides, Revision notes & Summaries

What is the notation for subset? ⊆ A collection of objects is known as a set What is the notation for integers? ℤ What is the notation for element? ∈ What is the notation for set-roster? { } Write the set-builder notation for, "Numbers whose square roots are an integer" { x | √x ∈ ℤ} Write the set-builder notation for "the set of all x's, such that x is greater than 0" { x | x > 0} T/F: Order matters in ordered pairs? T...

WGU C959 - Discrete Math Questions and Answers Rated A+ What is the notation for subset? ⊆ A collection of objects is known as a set What is the notation for integers? ℤ What is the notation for element? ∈ What is the notation for set-roster? { } Write the set-builder notation for, "Numbers whose square roots are an integer" { x | √x ∈ ℤ} Write the set-builder notation for "the set of all x's, such that x is greater than 0" { x | x > 0} T/F: Order matters in ordered pairs?...

11/1/21, 9:57 PM Module 8: Final Exam: 21FC-MTH350-1 Module 8: Final Exam Due No due date Points 200 Questions 40 Time Limit 400 Minutes Attempt History Attempt Time Score LATEST Attempt 1 111 minutes 155 out of 200  Correct answers are hidden. Score for this quiz: 155 out of 200 Submitted Nov 1 at 9:56pm This attempt took 111 minutes. Ques 5 / 5 pts tion 1 11/1/21, 9:57 PM Module 8: Final Exam: 21FC-MTH350-1 Consider the following graph: (Section 4.4) Alt text: A graph with 4...

Proof by Exhaustion Prove the statement by checking each element individually. Unlike proof by cases, exhaustive proof looks at every case in a way that is not general. Proof by Counterexample Used to disprove a universal statement. For example, to disprove the statement, "All prime numbers are odd" find one example where this statement is false—the number 2—which is both even and prime. Direct Proof In the direct proof, we assume the hypothesis p is true and we try to pro...

WGU C959 unit 1 latest 2023 already passed p∧q conjunction "and" T/T=T T/F=F F/T=F F/F=F p∨q disjunction/inclusive or "or" T/T=T T/F=T F/T=T F/F=F p⊕q exclusive or "or" T/T=F T/F=T F/T=T F/F=F ¬p negation "not" ¬T = F ¬F = T p→q conditional operation "if p then q" T/T=T T/F=F F/T=T (p=F, q=T regardless of truth value) F/F=T converse of p→q q→p contrapositive of p→q ¬q→¬p inverse of p→q ¬p→¬q p↔q biconditional operation "if and only if" T/T=...

Exclusive or. ⊕ One or the other, but not both. We can go to the park or the movies. inclusive or is a: disjunction Order of operations in absence of parentheses. 1. ¬ (not) 2. ∧ (and) 3. ∨ (or) the rule is that negation is applied first, then conjunction, then disjunction: truth table with three variables see pic 2^3 rows proposition p → q Ex: If it is raining today, the game will be cancelled. Converse: q → p If the game is cancelled...

Form When an argument has been translated from English using symbols Invalid Describes an argument when the conclusion is false in a situation with all the hypotheses are are true Valid Describes an argument when the conclusion is true whenever the hypotheses are all true Conclusion The final proposition Hypothesis Each of the propositions within an argument Argument Sequence of propositions Two Player Game In reasoning whether a quantified statem...

WGU C959 Flashcards (Master set) Already Graded A Proof by Exhaustion Prove the statement by checking each element individually. Unlike proof by cases, exhaustive proof looks at every case in a way that is not general. Proof by Counterexample Used to disprove a universal statement. For example, to disprove the statement, "All prime numbers are odd" find one example where this statement is false—the number 2—which is both even and prime. Direct Proof In the direct proof, we assume the hy...

Loophole LSAT Questions and Answers 2023 Argument Made of premise(s) and conclusions Premises The facts, the evidence. Always accept premises. Always focus on how the premises fit together and are defined by their relationship to the conclusion. Conclusion Judgments the author makes, built upon the arrangement of premises. They are part of the argument you question - usually they can be made invalid through loopholes. Valid conclusion Must be true if the premises are tr...

Exclusive or. ⊕ - answer-One or the other, but not both. We can go to the park or the movies. inclusive or is a: - answer-disjunction Order of operations in absence of parentheses. - answer-1. ¬ (not) 2. ∧ (and) 3. ∨ (or) the rule is that negation is applied first, then conjunction, then disjunction: truth table with three variables - answer-see pic 2^3 rows proposition - answer-p → q Ex: If it is raining today, the game will be cancelled. Converse: - answer-q →...