Example of the truth table of the following compound statement pairs in a single table
a. ~(p ∧ q) ; ~p ν ~q
Information :
T = True
F = False
The truth value in column 6 is equivalent or equal to column 7 is FTTT, so it can be concluded that the negation of the p ∧ q statement is ~ p ν ~ q and can be written as follows :
~(p ∧ q) ≡ ~p ν ~q
b. ~(p ν q) ; ~p ∧ ~q
Information :
T = True
F = False
The truth value at column 6 is equivalent or equivalent to column 7 is FFFT, so it can be concluded that the negation of the disjunction statement p ν q is ~ p ∧ ~ q and can be written as follows:
~(p ν q) ≡ ~p ∧ ~q
c. ~(p → q) ; p ∧ ~q
Information :
T = True
F = False
The truth value in the 5th column is equivalent or equal to the sixth column is the FTFF, so it can be concluded that the negation of the implication statement p → q is p ∧ ~ q and can be written as follows:
~(p → q) ≡ p ∧ ~q
d. ~(p ↔ q); ~p ↔ q
Information :
T = True
F = False
The truth value in column 6 is equivalent or equivalent to the 7th column of FTTF, so it can be concluded that the negation of the bi ation statement p ↔ q is ~ p ↔ q and can be written as follows:
~(p ↔ q); ~p ↔ q atau ~(p ↔ q); p ↔ ~q
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The end of word wassalamualaikum wr. wb
Referensi :
- To'Ali's book math group accounting and sales
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