Answer to Question #325072 in Discrete Mathematics for Shayan

Question

Write using predicates and quantifiers.

(1)   For every m, n ∈ N there exists p ∈ N such that m < p and p < n.

(2)   For all nonnegative real numbers a, b, and c, if a 2 + b 2 = c 2 , then a + b ≥ c. 3.

(3)   There does not exist a positive real number a such that a + 1 a < 2.

(4)   Every student in this class likes mathematics.

(5)   No student in this class likes mathematics.

(6)   All students in this class that are CS majors are going to take a 4000 level math course.