1/ Let A be a non-empty set. Let P(A) denote the powerset of A. The relation R on
P(A) is given by BRC iff B ∩ C /= ∅ for B,C∈ P(A). Prove or disprove that R is
an equivalence relation on P(A). If R is an equivalence Relation find the equivalence class if A = {0, 1, 2}
2/ The relation T on R ( real numbers) is given by xTy iff x−y ∈ Q (rationa numbers). Prove that T is an equivalence relation and find the equivalence class of 0 and √3
P(A) is given by BRC iff B ∩ C /= ∅ for B,C∈ P(A). Prove or disprove that R is
an equivalence relation on P(A). If R is an equivalence Relation find the equivalence class if A = {0, 1, 2}
2/ The relation T on R ( real numbers) is given by xTy iff x−y ∈ Q (rationa numbers). Prove that T is an equivalence relation and find the equivalence class of 0 and √3