Let R be an equivalence relation on A = {a, b, c, d, e, f, g} such that aRc, cRd, dRg and bR f . If there are three distinct equivalence classes resulting from R, then determine these equivalence classes and determine all elements of R."

please answer number 7. If you can please answer as much as you can.

You just bought a new car from a dealership that sells cars no older than 2015. Consider therelationship to be the “same age.” The relation is “same age” and the set is cars made in 2015, 2016,2017, 2018, 2019, and 2020. (a) Prove that this relation is an equivalence relation. (b) Describe the partition defined by the equivalence classes

3. Let R be a relation defined on the set A = N × N where (a, b) R (c, d) if að = cd. Show R is an equivalence relation. Then, list the elements of the equivalence class [(9, 2)].