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Find the Contrapositive of the statement “If i will not see Tajmahal, then i am not going to Agra.”
q: I am going to Agra
P: I will see Tajmahal
: I will not see Tajmahal
: I am not going to Agra
Given that:
Contrapositive of given statement is
i.e.
Express the sentence in propositional logic ” If Dev comes to party, if and only if
Raj comes and Anu doesn’t come.”
D: Dev comes to party
R: Raj comes to party
A: Anu comes to party
: Anu doesn’t come to party
Express the sentence in propositional logic ” If Dev comes to party, then if
Raj doesn’t come then Anu comes.”
D: Dev comes to party
R: Raj comes to party
A: Anu comes to party
: Raj doesn’t come to party
Find the truth value of \( \sim q \leftrightarrow \left( {P \leftrightarrow q} \right)\)
Find the truth value of \(\left( { \sim P \to q} \right) \leftrightarrow \left( {P\; \cup \sim q} \right)\)
Negation of the proposition
“Tanu is waiting for train”
P: Tanu is waiting for train
: Tanu is not waiting for train
\({x^2} = 4 \) iff \(x = \pm 2 \)
Write the mathematical statement in correct propositional logic
P:
q:
iff
i.e.
“If i will buy a car, then i will not buy a plot.”
Find the inverse of the statement
P: I will buy a care
q: I will buy a plot
: I will not buy a plot
Given that
Inverse
i.e.
“If Ram will go Mumbai, then he will eat Badapav.”
Express the contrapositive of above statement.
P: Ram will go Mumbai
q: Ram will eat Badapav
Given that
Contrapositive of the statement is
The proposition \(\left( {P \cap q} \right) \cup \left( { \sim P \cap \sim q} \right) \) is equivalent to