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Find the contrapositive of the statement “If Smita is intelligent, then she will join Medical” is
P: Smita is intelligent.
q: Smita will join Medical.
Given that
Contrapositive statement will be
Find the inverse of the statement “If Smita is intelligent, then she will join Medical” is
P: Smita is intelligent.
q: Smita will join Medical.
Given that
Inverse statement will be
Find the converse of the statement “If Smita is intelligent, then she will join Medical” is
P: Smita is intelligent.
q: Smita will join Medical.
Given that
Converse statement will be
“Either the girls are happy or they are not playing.” Express it in prepositional logic.
P: The girls are happy.
q: Girls are playing.
“Girls are unhappy but they are playing.” Express it in prepositional logic.
P: Girls are happy.
q: Girls are playing.
“It is not true that the girls are not playing but they are happy.” Express it in prepositional logic.
P: Girls are Playing.
q: Girls are happy.
The negation of above statement is
If p and q are true and s is false then \( (p \cap q) \cup s \) is
Find the truth value of \( \left[ {\left( {p \to q} \right) \cap q} \right] \to p\)
\(\left( {p \cap q} \right) \to r\) is equivalence to
\(\left[ {\left( {p \cup q} \right) \cap \sim p} \right] \cap \left( {\sim q} \right)\) is equivalence to
If \( \phi = \left[ {\left( {p \cap q} \right) \to \left( {\sim p \cup \sim q} \right)} \right] \cap \sim p\) then the truth value of \( \phi \) is
Find the truth value of \( \left[ {p \cap \left( {p \to q} \right)} \right] \to q\)
is a tautology.
\(\left( {p \cap q} \right) \cup \left( {\sim p \cap q} \right) \cup \left( {p \cap \sim q} \right) \cup \left( {\sim p \cap \sim q} \right)\)
Let . Since disjunction is associative and commutative and atleast one T found in each row of conjuction, then truth table of
is all true. i.e. tautology.
Find the converse of the statement ” If an angle is a right angle, then its measure is \(90^\circ \)
P: An angle is a right angle.
q: Its measure is
Given that
Converse of the statement is
Find the inverse of the statement ” If an angle is a right angle, then its measure is \(90^\circ \)
P: An angle is a right angle.
q: Its measure is
Given that
Converse of the statement is
Find the conrapositive of the statement ” If an angle is a right angle, then its measure is \(90^\circ \)
P: An angle is a right angle.
q: Its measure is
Given that
Converse of the statement is
The preposition \( p \cap \sim p \) is
The preposition \( q \cup \sim q \) is
When two statements are corrected by the connective “if and only if” then the compound statement is called
is sufficient and necessary to q.
If p and q be two statements then the conjuction of the statements, \( p \cap q \) is true when