Question: 15) Let A = {7,9,10,12}, B = {1,2,3,4} and consider the relations: R= {(a,b) AXB|a-2b > 3} G= {(a,b) | aEA, beB and (a+b) =

15) Let A = {7,9,10,12}, B = {1,2,3,4} and consider the relations: R= {(a,b) AXB|a-2b > 3} G= {(a,b) | aEA, beB and (a+b) = 12} H = {(a,b) | aeB , beB and (a+b) > 5} (a) List all the elements of the relation R and give its cardinality R/. (b) Find the range and domain of the relation R. (c) Find the inverse relation R-'. (d) Find the sets of ordered pair in G and H. (e) Draw the diagraphs of G and H. (f) Give the Boolean-matrix representations of G and H. (4 ma (2 ma (2 mar (6 mar (6 mart (2 mark ho mm 1. 14 Tatia 1.f.f.La 17CA

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