Evaluate the expression p||(q&&r)

This can also be written as P ∨ (Q ∧ R)

Evaluate scenarios

Since we have 3 letters T or F

we have 23 = 8 possible scenarios

p||(q&&r) Truth Table

PQRP ∨ (Q ∧ R)
TTTT
TTFT
TFTT
TFFT
FTTT
FTFF
FFTF
FFFF

Final Answer


PQRP ∨ (Q ∧ R)
TTTT
TTFT
TFTT
TFFT
FTTT
FTFF
FFTF
FFFF


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How does the Truth Tables Calculator work?
Free Truth Tables Calculator - Sets up a truth table based on a logical statement of 1, 2 or 3 letters with statements such as propositions, equivalence, conjunction, disjunction, negation. Includes modus ponens.
This calculator has 1 input.
What 2 formulas are used for the Truth Tables Calculator?
!(!p) = p
P v Q is true if P is true or Q is true
What 8 concepts are covered in the Truth Tables Calculator?
conjunction
a word used to connect clauses or sentences or to coordinate words in the same clause
disjunction
a binary connective classically interpreted as a truth function the output of which is true if at least one of the input sentences (disjuncts) is true, and false otherwise
equivalence
the state or property of being equivalent.
modus ponens
If conditional statement if p then q
p --> q
modus tollens
If conditional statement if not p then not q
!p --> !q
negation
reverses the truth value of a given statement.
~
proposition
a declarative sentence that is either true or false (but not both)
truth table
a table that shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it is constructed.
Example calculations for the Truth Tables Calculator
  1. P && Q
  2. p || q
  3. P && Q && R
  4. P || (Q && R)
  5. !p && q
Truth Tables Calculator Video

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