”Each of Rajat's students either scored distinction in chemistry or physics” is represented by which of the following expressions
X : set of Rajat's students
P : x scored distinction in chemistry
Q : x scored distinction in physics
”Each of Rajat's students either scored distinction in chemistry or physics” is represented by which of the following expressions
X : set of Rajat's students
P : x scored distinction in chemistry
Q : x scored distinction in physics
The correct option is D ∀ x ϵ X,P∨ Q
The symbolic representation of the quantifier "for every x” or "for each x” is ∀x. while ∃ x symbolizes the "Existential quantifier” or the phrase "there exists an x”. . . .
Hence the statements ”Each of Rajat's students either scored distinction in chemistry or physics” can be represented as ∀ x ϵ X,P∨ Q
Bonus:
Talking about symbols, the negation is given by the symbol ′¬′ which translates to "its not the case that”
e.g. ¬∀ x ϵ X,P∨ Q: represents the statement "it is not the case that each of Rajat's students scored distinction in physics or chemistry."
∀ x ϵ X,P∨ Q
The symbolic representation of the quantifier "for every x” or "for each x” is ∀x. while ∃ x symbolizes the "Existential quantifier” or the phrase "there exists an x”. . . .
Hence the statements ”Each of Rajat's students either scored distinction in chemistry or physics” can be represented as ∀ x ϵ X,P∨ Q
Bonus:
Talking about symbols, the negation is given by the symbol ′¬′ which translates to "its not the case that”
e.g. ¬∀ x ϵ X,P∨ Q: represents the statement "it is not the case that each of Rajat's students scored distinction in physics or chemistry."
Q. Total marks obtained in a subject is sum of theory marks and practical marks. Mathew scored 80% of his total marks in theory for physics and scored 75% of his total marks in theory for chemistry. Find the sum total of the marks obtained in practical exams by Mathew?
