Hey can u help me to understand the solutions to these plz

& Question 14 Let R and S be equivalence relations on a set A. Are the following necessarily equivalence relations? (i) Rns (ii) RUS Prove or disprove. Question 15 Draw Hasse diagrams A = {1, 2, . .., 10} when given the following partial orders. (i) x R-I is an equivalence relation. (ii) R is a partial order => R-1 is a partial order. Prove or disprove. Question 18 Are the following mappings injective, surjective, both or neither? (i) f : C - R such that f (z) = |2/ (ii) f : R - R such that f (x ) = e* (iii) f : R- {2} - R- {1} such that f ( x ) = x - 2 (iv) A is any set. f : A-P(A) such that f (a) = {a}, P(A) is the power set of A