Let A = {0, 1,2} and the partial order relation R be defined on the set of A x A as follows: For V(a,b), (c,d) € A × A, (a,b)R(c,d) ⇒ a ≤ c and b ≤ d (a) Draw the Hasse diagram for R. (b) Write the minimal, maximal, least and greatest elements of R.

Consider the set A={a,b,c,d,e,f}. Define a partial ordering on A by setting x<=y if (x,y) belongs to R={(a,a)(b,b)(c,c)(d,d)(e,e)(f,f)(a,d)(a,f)(b,c)(b,d)(e,b)(e,c)(e,d)(f,d)} a)Find all x belongs to A that satisfy x<d b)find all x belongs to A that are incompsctable with c

Let R be a relation on the set A = {0, 1, 2, 3} defined as follows: R = {(0, 1), (1, 2), (1, 1), (2, 1), (0, 2), (2, 0)} Draw the directed graph of R. ( attach the pdf file with the directed graph)