Question

X: Rajat's students
P: Full marks in Maths
Q: Full marks in Economics

”Each of Rajat's students scored full in Maths or Economics” is written as .

• A. ∀x∈X,P∨~Q
• B. ∀x∈X,~P∨Q
• C. ∀x∈X,P∨Q
• D. ∀x∈X,P∧Q

Answer 1

The correct option is C ∀x∈X,P∨Q

The symbolic representation of the quantifier "for every x” or "for each x” is $\forall$x. while $\exists$ x symbolizes the "Existential quantifier” or the phrase "there exists an x”. . . .

Hence the statements ”Each of Rajat's students either scored full in Maths or Economics” can be represented as $\forall xϵX,P\vee Q$