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“There exist a \( x \in \mathbb{N} \), where \({x^2} = 4 \)”
Find out the Quantifier in above statement
“There exist “is a quantifier used in statement
Find the truth value of the proposition \(\left( {P \cup q} \right) \cap \left( { \sim q\; \cap \sim P} \right)\)
“If Peter is Dutch and Aldo is not italiana, then Bob is not English.”
Formalize the above sentence in correct proposition
P: Peter is Dutuch
q: Aldo is Italian
: Aldo is not Italian
r: Bob is English
: Bob is not English
“Raj is from Mumbai or if Raj is not from Mumbai then Ashok is frim Delhi “
Formalize the above sentence in correct proposition
P: Raj is from Mumbai
q: Ashok is from Delhi
: Raj is not from Mumbai
“If David comes to party then Bruno and Carlo come too “
Formalize the sentence in correct proposition
P: David comes to party
q: Bruno comes to party
r: Carlo comes to party
“A necessary condition for Angelo coming to party, is that,
if Bruno and Carlo are not coming, David comes.”
The correct proposition is
A: Angelo is coming to party
B: Bruno is coming to party
C: Carlo is coming to party
D: Davide comes to party
: Bruno is not coming to party
: Carlo isn’t coming to party
Truth value of \(P \to \left( {q \cap P} \right) \) is
Truth value of \(\left( {P \to \sim q} \right) \cup \sim P \) is
Truth value of \(\phi = \left( {q \to \left( { \sim P \to \sim q} \right)} \right) \to P \)
have truth values T,T,T,F
Truth value of \( \sim P \leftrightarrow q \) is
The proposition \(\left( {P \to \sim q} \right) \cup \sim P \) is equivalence to
If Sky and Ocean are blue, then moon is white.
Write down in correct proposition.
P: Sky is blue
q: Ocean is blue
r: Moon is white
The contrapositive of the statement “If it is raining, then i will not come” is
P: it is raining
q: it will come
: it will not come
: it is not raining
Given proposition is
Contrapositive of given proposition is if
if i will come then it is not raining
The statement \( \sim (P \leftrightarrow \sim q) \) is
Negation of the statement
“If i become a teacher, then i will open a school.” is
P: I become a teacher
q: I will open a school
Negation of above statement is i will become a teacher and i will not open a school.
The inverse of the statement
“If it is raining, then i will not come”, is
P: It is raining
q: I will come
: I will not come
: it is not raining
Given statement is
Inverse of the statement is
if
The converse of the statement ” If i will not come, then it is raining.” is
P : I will come
q: It’s raining
: I will not come.
Given statement is
Converse of the statement is
Find the truth value of \(\left( { \sim P \leftrightarrow \sim q} \right) \cap P\)
Find the truth value of \(\left( { \sim P \leftrightarrow q} \right)\, \cup \sim P\)
Find the truth value of \(\left( { \sim P \leftrightarrow q} \right)\, \to \sim q\)
Find the truth value of \( \left( { \sim P \to \sim q} \right)\, \leftrightarrow \left( {P \to q} \right)\)
Find the inverse of the statement
“If i have money then, i will buy a bat.”
P: I have money
q: I will buy a bat
Given statement is
Inverse of the statement is