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Please explain so that I may follow, thanks
Consider the following two propositions):
p: It snows tonight.
q: I will stay home.
Use negation (~), conjunction (^), disjunction (V), and/or implication (-->) to construct a logical
equivalence of p-->q.
Construct the truth table for both statements and explain how the truth tables establish logical
equivalences.
P
Q
p-->q
T
T
T
F
F
T
F
F
P
Q
T
T
T
F
F
T
F
F
P
Q
p-->q
T
T
T
F
F
T
F
F
Solution
Prepare truth table as following with all possibilities for p and q.
Hence p does not imply QIPQ~P~Qp^Qp--
>qTTFFTTTFFTFFFTTFFFFFTTFTIIPQpvQTTFFTTTFFTTFFTTFTFFFTTFF

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Please explain so that I may follow, thanksConsider the following .pdf

  • 1. Please explain so that I may follow, thanks Consider the following two propositions): p: It snows tonight. q: I will stay home. Use negation (~), conjunction (^), disjunction (V), and/or implication (-->) to construct a logical equivalence of p-->q. Construct the truth table for both statements and explain how the truth tables establish logical equivalences. P Q p-->q T T T F F T F F P Q T T T F F T F F P Q p-->q T T T
  • 2. F F T F F Solution Prepare truth table as following with all possibilities for p and q. Hence p does not imply QIPQ~P~Qp^Qp-- >qTTFFTTTFFTFFFTTFFFFFTTFTIIPQpvQTTFFTTTFFTTFFTTFTFFFTTFF