Question: Write the statement in symbolic form. Then construct a truth table for the symbolic statement. You'll be full of energy all daybefullofenergyallday if and only
Write the statement in symbolic form. Then construct a truth table for the symbolic statement.
You'll
be full of energy all daybefullofenergyallday
if and only if
you eat a breakfast with eggs and toastyoueatabreakfastwitheggsandtoast,
or
you won't be alert during your examyouwon'tbealertduringyourexam.
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Part 1
Write the statement in symbolic form, using the assignments
p equals "you'll be full of energy all day comma "p="you'llbefullofenergyallday,"
q equals "you eat a breakfast with eggs and toast comma "q="youeatabreakfastwitheggsandtoast,"
and
r equals "you'll be alert during your exam."r="you'llbealertduringyourexam."
Then construct a truth table for the symbolic statement.
Fill in the blanks.
Part 2
Part 3
Part 4
Part 5
Part 6
Part 7
Part 8
Part 9
p | q | r | Bold p right arrow qpq Bold p left right arrow qpq | ~r | Bold left parenthesis p right arrow q right parenthesis logical and tilde r(pq)~r Bold left parenthesis p left right arrow q right parenthesis logical or tilde r(pq)~r Bold left parenthesis p left right arrow q right parenthesis logical and tilde r(pq)~r Bold left parenthesis p right arrow q right parenthesis logical or tilde r(pq)~r |
|---|---|---|---|---|---|
T | T | T | F T | T F | F T |
T | T | F | T F | F T | F T |
T | F | T | F T | T F | F T |
T | F | F | F T | F T | F T |
F | T | T | T F | F T | T F |
F | T | F | F T | T F | F T |
F | F | T | T F | F T | F T |
F | F | F | T F | F T | F T |
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