Q. p → q is logically equivalent to ________

View solution

Q. p ∨ q is logically equivalent to ________

View solution

Q. ¬ (p ↔ q) is logically equivalent to ________

View solution

Q. p ∧ q is logically equivalent to ________

View solution

Q. Which of the following statement is correct?

View solution

Q. p ↔ q is logically equivalent to ________

View solution

Q. (p → q) ∧ (p → r) is logically equivalent to ________

View solution

Q. (p → r) ∨ (q → r) is logically equivalent to ________

View solution

Q. Let P (x) denote the statement “x >7.” Which of these have truth value true?

View solution

Q. Let Q(x) be the statement “x < 5.” What is the truth value of the quantification ∀xQ(x), having domains as real numbers.

View solution

Q. Determine the truth value of ∀n(n + 1 > n) if the domain consists of all real numbers.

View solution

Q. Let P(x) denote the statement “x = x + 7.” What is the truth value of the quantification ∃xP(x), where the domain consists of all real numbers?

View solution

Q. Let R (x) denote the statement “x > 2.” What is the truth value of the quantification ∃xR(x), having domain as real numbers?

View solution

Q. The statement,” Every comedian is funny” where C(x) is “x is a comedian” and F (x) is “x is funny” and the domain consists of all people.

View solution

Q. The statement, “At least one of your friends is perfect”. Let P (x) be “x is perfect” and let F (x) be “x is your friend” and let the domain be all people.

View solution

Q. ”Everyone wants to learn cosmology.” This argument may be true for which domains?

View solution

Q. Let domain of m includes all students, P (m) be the statement “m spends more than 2 hours in playing polo”. Express ∀m ¬P (m) quantification in English.

View solution

Q. Determine the truth value of statement ∃n (4n = 3n) if the domain consists of all integers.

View solution

Q. Let Q(x, y) denote “M + A = 0.” What is the truth value of the quantifications ∃A∀M Q(M, A).

View solution

Q. Translate ∀x∃y(x < y) in English, considering domain as a real number for both the variable.

View solution