Question

Let us say that two integers are near to one another provided their difference is 2 or smaller (i.e., the numbers are at most 2 apart). For example, 3 is near to 5, 10 is near to 9, but 4 is not near to 8. Let R stand for this is-near-to relation. (a) Write down R as a set of ordered pairs. Your answer should look like this: R = {(x, y) : . . .}. (b) Prove or disprove: R is reflexive. (c) Prove or disprove: R is irreflexive. (d) Prove or disprove: R is symmetric. (e) Prove or disprove: R is antisymmetric. (f) Prove or disprove: R is transitive.

Answer 1

Hope this answer was helpful to you. If you satisfied with this answer give a thumps up.

Happy Learning :)