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Which of the following is a statement?
Option 1,2 & 3 are not following the proprieties of statements i.e they are creating confusion .
Hence option 4 i.e 7 is a prime number. Show the truth value of statement.
The negation of the statement “7 is greater than 3.” is
p: 7 is greater than 3.
~p: 7 is not greater than 3.
The connective in the statement “Ram is going to market or school” is
p: Ram is going to market on school.
Here ‘or’ is the connective in the above statement.
The negation of the statement “24 is divisible by 6 and 8” is
p: 24 is divisible by 6 and 8.
Let q : 24 is divisible by 6
r: 24 is divisible by 8
~q: 24 is not divisible by 6
~r: 24 is not divisible by 8
=> 24 is not divisible by 6 or 24 is not divisible by 8.
24 is not divisible by 6 or 8.
The statement \(p \to \left( {q \to p} \right)\) is equivalence to
The statement \(q \to p \) is equivalence to
The statement \(p \cap \left( {q \cup r} \right) \) is equivalence to
(Distributive law )
The statement \(\sim\left( {\sim p \cap \sim q } \right)\) is equivalence to
The statement \(\sim \left( {p \cup q } \right) \cup \left( {\sim p \cap q } \right) \) is equivalence to
The negation of \( \sim S \cup \left( {\sim r \cap S} \right)\) is equivalence to
The statement \( \sim\left( {p\ \cap \sim p} \right)\) is
is tautology.
Which of the following is well formed propositional formula ?
Answer 1, 3, 4 are not in correct manner.
is showing correct method to form a proposition
Compute the truth table of \( \left( {F \cup G} \right) \cap \left( {\sim F \cap G} \right)\)
Determine the statement \((p \to q ) \cup (p \to \sim q )\) is
Determine the truth value of \((p \cap q ) \to (p \cap \sim q ) \) is
The truth value of \(p \to \left( {q \cap \sim q } \right) \) is equivalence to
Let’s consider a statement
“if paola is happy and paints a picture then Raju is not happy “
Express it in propositional logic.
p: paola is happy
q : paola paints a picture
r : Raju is happy
: Raju is not happy.
Hence the propositional logic will be
p: Aldo is Italian.
q: Bob is Dutch.
Then “Aldo is Italian while Bob is Dutch” will be
Aldo is Italian while Bob is Dutch.