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Test whether the following relations ...

Test whether the following relations `R_1,R_2"and"R_3,""` are (i) reflexive (ii) symmetric and (iii) transitive: `R_1` on `Q_0` defined by `(a , b)R_1 a=1/b` `R_2` on `Z` defined by `(a , b)R_2|a-b|lt=5` `R_3` on `R` defined by `(a , b)R_3 a^2-4a b+3b^2=0`

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Test whether,R_(2) on Z defined by (a,b)in R_(2)|a-b|<=5 is (i) reflexive (ii) symmetric and (iii) transitive.

Test whether,R_(1) on Q_(0) defined by (a,b)in R_(1)a=1/b is (i) reflexive (ii) symmetric and (iil) transitive:

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Check whether the relation R in R defined by R={(a,b):a<=b^(3)} is reflexive,symmetric or transitive.

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R_(1) on Z defined by (a,b)inR_(1) " iff "|a-b|le7, R_(2) on Q defined by (a,b)inR_(2) " iff "ab=4 and R_(3) on R defined by (a, b)inR_(3)" iff "a^(2)-4ab+3b^(2)=0 Relation R_(3) is

R_(1) on Z defined by (a,b)inR_(1) " iff "|a-b|le7, R_(2) on Q defined by (a,b)inR_(2) " iff "ab=4 and R_(3) on R defined by (a, b)inR_(3)" iff "a^(2)-4ab+3ab^(2)=0 Relation R_(2) is