a) Consider the following relations on the set of integers: R1 = {(a,b) | a ...

  

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a) Consider the following relations on the set of integers: R1 = {(a,b) | a ≤ b} R2 = {(a,b) | a>b} R3= {(a,b) | a = b or a = -b} R4 = {(a,b) | a=b} R5 = {(a,b) | a = b+1} R6 = {(a,b)|a+b<b} Find the relations contain each of the pairs (1,1), (1,2), (2,1), (1,-1) and (2,2). (15 marks) a) Consider the following relations on the set of integers: R1 = {(a,b) | a ≤ b} R2 = {(a,b) | a>b} R3= {(a,b) | a = b or a = -b} R4 = {(a,b) | a=b} R5 = {(a,b) | a = b+1} R6 = {(a,b)|a+b<b} Find the relations contain each of the pairs (1,1), (1,2), (2,1), (1,-1) and (2,2). (15 marks)