A relation `R_(1)` is defined on the set of real numbers as follows: (a,b)` in R_(1) hArr 1 + ab

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Let a relation `R_1` on the set `R` of real numbers be defined as `(a ,\ b) in R_1 lt= gt1+a

Let the relation R in the set of real numbers be defined as aRb if and only if 1+ab is greater than.

Let S be a relation on the set R of all real numbers defined by S = {(a, b) ∈ R × R : a^2 + b^2 = 1}

For the relation R1 defined on R by the rule (a, b)∈R1 ⟺ 1 + ab greater than 0. Prove that: (a, b) ∈

Show that (-1)×(-1)=1 in the set of real numbers R.

Let a relation `R_1` on the set R of real numbers be defined as `(a , b) in R iff 1+a b gt 0` fo...

Proof that (S ∘ R)^-1 = R^-1 ∘ S^-1 for relations (ILIEKMATHPHYSICS)

The following relations are defined on the set of real numbers. (i) `a R b iff |a - b| gt 0`