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let R be a relation from N to N defined by R={(a,b):a,b belongs to N and a = square of b.are the following true? give reasons too 1) (a,a) belongs to R,for all a belongs to N 2) (a,b) belongs to R,implies (b,a)belongs to R 3)(a,b)belongs to R,(b,c)belongs to R implies (a,c) belongs to R dont forget to give explanation. |
Not true. Since 4 is the square of 2. Hence (a,a) belongs to R is not true. |