Equivalance Relations (congruences)

Hello everyone! How's it going ? (Happy)

Could someone help me out with these equivalent relations questions? I'm kind of stuck.

For each of the following relations, determine whether it is reflexive, symmetric, and transitive and explain why in each case.

(1) Let G be the integers Z and let aRb if and only if |a − b| >= 5.

(2) Let G be the real numbers R and let xRy if and only if |x| + |y| = 1.

(3) Let G be the collection of all subsets of the set {0, 1, 2}, and let aRb if and only if each of a and b has the same number of members as the other.

Thank you!!