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C959 WGU unit 1 With 100% ACCURATE QUESTIONS AND ANSWERS GRADED A+ $10.49   Add to cart

Exam (elaborations)

C959 WGU unit 1 With 100% ACCURATE QUESTIONS AND ANSWERS GRADED A+

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  • Course
  • Math discrete
  • Institution
  • Math Discrete

C959 WGU unit 1 With 100% ACCURATE QUESTIONS AND ANSWERS GRADED A+

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  • September 30, 2024
  • 6
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers
  • Math discrete
  • Math discrete
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C959 WGU unit 1 With 100% ACCURATE QUESTIONS AND
ANSWERS GRADED A+


Terms in this set (66)

conjunction
"and"


p∧q T/T=T
T/F=F
F/T=F
F/F=F

disjunction/inclusive or
"or"


p∨q T/T=T
T/F=T
F/T=T
F/F=F

exclusive or
"or"


p⊕q T/T=F
T/F=T
F/T=T
F/F=F

negation
"not"
¬p
¬T = F
¬F = T

conditional operation
"if p then q"


p→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
1/6

, contrapositive of p→q ¬q→¬p

inverse of p→q ¬p→¬q

biconditional operation
"if and only if"


p↔q T/T=T
T/F=F
F/T=F
F/F=T

proposition is ALWAYS TRUE regardless of truth value


tautology p∨¬q
T/F=T
F/T=T

proposition is ALWAYS FALSE regardless of truth value


contradiction p∨¬q
T/F=F
F/T=F

logically equivalent


s≡r
p≡¬¬p


p=T
¬p=F

so p→¬p≡¬p
=F


if p=F
¬p=T
so p→¬p≡¬p
=T

logical equivalences show how to distribute negation operation inside
de morgan's law
parenthesis

¬(p∨q) ≡ ?
¬(p∨q) ≡ (¬p∧¬q)

absorption laws p∨(p∧q)≡p
p∨(p∧q)≡ ?
p∧(p∨q)≡ ? p∧(p∨q)≡p

associative law (p∨q)∨r ≡ p∨(q∨r)
(p∨q)∨r ≡ ?
(p∧q)∧r ≡ ? (p∧q)∧r ≡ p∧(q∧r)

commutative law p∨q≡ q∨p
p∨q≡ ?
p∧q≡ ? p∧q≡ q∧p

p∧¬p≡ F
complement law ¬T≡ F
p∧¬p≡ ?
p∨¬p≡ ? p∨¬p≡ T
¬F≡ T




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