Contrapositive Study guides, Class notes & Summaries
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WGU C959 - Discrete Math exam questions and answers
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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...
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WGU C959 - Discrete Math Questions and Answers Rated A+
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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?...
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LSAT Prep Question with complete solution 2024
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LSAT Prep Question with complete solution 2024Lesson 1 - correct answer ... 
 
Argument - correct answer Consists of a conclusion and a set of premises given in support of that conclusion 
 
Set of Facts - correct answer A group of statements from which no conclusion is drawn. 
 
Valid Conclusion - correct answer A statement that must be true according to the premises 
 
Invalid Conclusion - correct answer A statement that is not necessarily true according to the premises 
 
Assum...
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WGU C959 unit 1 latest 2023 already passed
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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=...
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C959 Flashcards (Master set) questions and answers.
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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...
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discrete math 1 wgu questions and answers
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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...
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C959 WGU unit 1 questions with 100% correct answers.
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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 
bicondi...
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CMSC250 final notes (100% Verified)
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implication order correct answers ~, ^, v, -> <-> 
 
exclusive or correct answers (p ^ ~q) v (~p ^ q) 
 
p-> q converse, inverse, and contrapositive correct answers q->p, ~p->~q, ~q->~p 
 
what is value of p->q if p = 0` correct answers true 
 
definition of implication correct answers p → q ≡ ¬p ∨ q 
 
negation of p->q correct answers p ^ ~q 
 
P⟺q is the same as correct answers p → q ^ q → p 
 
r is a sufficient condition for s correct answers if r then ...
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COT 3100 UPDATED Exam Questions and CORRECT Answers
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PropositionA declarative sentence that is either true or false. 
ConjunctionAnd, ∧ 
DisjunctionOr, ∨ 
Implication 
Converse p->qFlip 
q->p 
Contrapositive p->qFlip and negate 
¬q -> ¬p 
Inverse p->qNegate
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LSAT Memorization Materials 100% Correct
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Definition: Premise - ANSWER-a supporting statement 
 
Definition: Conclusion - ANSWER-a supported statement 
 
Definition: Argument - ANSWER-two or more statements where on statement is supported by the other(s) 
 
Definition: Assumption - ANSWER-a premise left out of the argument 
 
Definition: Context - ANSWER-background information which is not used in the argument except as a referent 
 
Definition: Contrapositive - ANSWER-a logically equivalent statement derived from negating the necessary...
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