Discrete Mathematics Answers

Show that the two statements ¬∃x∀yP (x, y) and

∀x∃y¬P (x, y), where both quantifiers over the first vari-

able in P (x, y) have the same domain, and both quanti-

fiers over the second variable in P (x, y) have the same

domain, are logically equivalent.

How will you interpret the mathematical concept from the case study to contribute towards logical thinking in emerge mathematics

Let R be reflexive relation on a set A. Show that R ⊆R²?

Use the set builder notation to give a description of each of these sets.

1.A = {b, c, d, f, g, h, j, k, l, m, n, p, q, r, s, t, v, w, x, y, z}

2. B = {0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377}

let r be a reflexive relation on a set a. show that r ⊆ r2