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For the relation R1 defined on R by th...

For the relation `R_1` defined on `R` by the rule `(a ,b) in R_1:1+ab > 0.` Prove that: for`(a ,b) in R_1a n d(b ,c) in R_1 then (a ,c) in R_1` is not true for all `a ,b ,c in R`

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Given,`(a ,b) in R_1:1+ab > 0.` Let `a=1,b=-1/2,c=-4 `
Now,`(1,-1/2) in R_1` and `(-1/2,-4) in R_1`
as` (1-1/2)>0` and `(1+(-1/2)(-4))>0`
but, `(1+(1)(-4))<0`
thus,(1,-4) not belong to `R_1`
Thus `(a,c) in R_1` is not true for all a,b,c.
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