If `R={(a,b)//|a+b|=|a|+|b|}` is a relation on a set `{-1,0,1}` then R – InterviewSolution

InterviewSolution

1.	If `R={(a,b)//\|a+b\|=\|a\|+\|b\|}` is a relation on a set `{-1,0,1}` then R is_A. reflexiveB. symmetricC. anti symmetricD. equivalence.
Answer» Correct Answer - D (i) Write all the element of R. (ii) R={(0,0),(1,1),(-1,-1),(0,-1),(-1,0),(1,0),(0,1)} (iii) Check the properties , which R satisfy

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