Page 11 - UAS Media Pembelajaran Berbasis IT e-modul Evri Sariati Pakpahan 4183111061
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: The hero monument is located in Jakarta (statement with false values)
∨ : The sum of 2 and 5 is 7 or the Hero Monument is located at Jakarta
(statement is true)
3. Implication
Implication is a compound statement with the conjunction "if ..., then ...". The
implications of the statements p and q are denoted by p ⇒ q which read "if p then q" or "p
if only if q" or "p is necessary for q" or "q is sufficient for p". From the implication p ⇒ q,
p is called the antecedent or cause or hypothesis, q is called a consequence or conclusion
or conclusion. The truth table of Implication ⇒ :
⇒
From this table, it appears that the implication is always false if the cause is right and
the result is wrong.
Example 9:
: 5 + 4 = 7 (false statement)
: Indonesia in continental Europe (wrong statement)
⇒ : If 5 + 4 = 7 then Indonesia is in continental Europe (statement correct)
4. Biimplication
A biimplication is a compound statement with the conjunction "... if and only if ..." and
denoted ⇔.
The implication of the statement p and q is written p ⇔ q which reads p if and only if q or
if p then q and if q then p.
The Truth table of Biimplication p ⇔ q:
⇔