Among the relations S=a,b:a,b∈R-0,2+ab>0 and T=a,b:a,b∈R,a2-b2∈Z, - DASH

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Question

Among the relations

S = \{(a, b) : a, b \in R - \{0\}, 2 + \frac{a}{b} > 0\}

and

T = \{(a, b) : a, b \in R, a^{2} - b^{2} \in Z\}

,

S

is transitive but

T

is not

both

S

and

T

are symmetric

neither

S

not

T

is transitive

T

is symmetric but

S

is not

Solution

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