Mathematics

Mathematics

Problem

Let P={−2,−1,0,1,2}P=\{-2,-1,0,1,2\}. A relation RR on PP is defined as R={(a,b)∈P×P∣ab>0}.R=\{(a,b)\in P\times P\mid ab>0\}. Using this information, answer the following questions: a. (i) List all ordered pairs in RR. b. (ii) Determine the domain and the range of RR. c. (iii) How many elements of PP are not related to any other element under RR? Give a reason for your answer.

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