Express, “The difference of a real number and itself is zero” usi – McqOptions

MCQOPTIONS

1.	Express, “The difference of a real number and itself is zero” using required operators.
A.	∀x(x − x! = 0)
B.	∀x(x − x = 0)
C.	∀x∀y(x − y = 0)
D.	∃x(x − x = 0)
Answer» C. ∀x∀y(x − y = 0)

Discussion

No Comment Found

Related MCQs

Find a counterexample of ∀x∀y(xy > y), where the domain for all variables consists of all integers.
Determine the truth value of ∃n∃m(n + m = 5 ∧ n − m = 2) if the domain for all variables consists of all integers.
Use quantifiers and predicates with more than one variable to express, “There is a pupil in this lecture who has taken at least one course in Discrete Maths.”
Express, “The difference of a real number and itself is zero” using required operators.
Let T (x, y) mean that student x likes dish y, where the domain for x consists of all students at your school and the domain for y consists of all dishes. Express ¬T (Amit, South Indian) by a simple English sentence.
Let L(x, y) be the statement “x loves y,” where the domain for both x and y consists of all people in the world. Use quantifiers to express, “Joy is loved by everyone.”
Let Q(x, y) be the statement “x + y = x − y.” If the domain for both variables consists of all integers, what is the truth value of ∃xQ(x, 4).
“The product of two negative real numbers is not negative.” Is given by?
Translate ∀x∃y(x < y) in English, considering domain as a real number for both the variable.
Let Q(x, y) denote “M + A = 0.” What is the truth value of the quantifications ∃A∀M Q(M, A).