1- Given two pardial arders R and S on a set A prove ar disprove that RUS is a padial onder reladion on A. 2-Consider twe equivalence relations R and S on a set A. Prove or disprove that RAS is on equintence relacion on A. If you want todeds prove then you shadd give an example where R and S are equivatence reladions but RAS is not on equivalene relation. 3-Consider A={a,b,c}. Let R be a relation on P(A) such that (x,y)R if xy={a}. Notice that P(A) denotes the paraset of A. Determine, with reasen, if R is ref lenive, symmetric, ontisymmetric, or transitive