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.
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
