9.24. Let R be an equivalence relation on A = {a, b, c, d, e, f,g} such that a Rc, c Rd, d Rg and b R f. If there are three distinct equivalence classes resulting from R, then determine these equivalence classes and determine all

) 7. Let A = {1,2,3,4}×{1,2,3,4}. Define an equivalence relation - by (x1,x2) ~ (X3,x4) iff x1x2 = xx4. List the elements of the equivalence class [(2,2)].

Prove or disprove the following statements

Let S be a nonempty subset of Z and let R be a relation defined on S by xRy if 3 | (x + 2y). If S = {−7, −6, −2, 0, 1, 4, 5, 7}, then what are the distinct equivalence classes in this case? Please show how you find them