Question

Prove that the relation R and Q (the set of rational numbers) defined by
(a, b) ER=1+ab > 0 is not an equivalence relation.

Answer 1

3+2+4+4

x^{3}+x^{2}+4x+4x3+x2+4x+4

3+4+2+4

3+4+2+4

{\color{#c92786}{x^{3}+4x}}+x^{2}+4x3+4x+x2+4

(2+4)+2+4

3+2+4+4

x^{3}+x^{2}+4x+4x3+x2+4x+4

3+4+2+4

3+4+2+4

{\color{#c92786}{x^{3}+4x}}+x^{2}+4x3+4x+x2+4

(2+4)+2+4

3+2+4+4

x^{3}+x^{2}+4x+4x3+x2+4x+4

3+4+2+4

3+4+2+4

{\color{#c92786}{x^{3}+4x}}+x^{2}+4x3+4x+x2+4

(2+4)+2+4

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