Question

Solve the inequality -

x - 2 / x² + 1 < -1/2

Answer 1

★ INEQUALITIES ★

Given function :

x - 2 / x² + 1 < -1/2

x - 2 / x² + 1 + 1/2 < 0

2 ( x - 2 ) + x² + 1 / 2 ( x² + 1 ) < 0

x² + 2x -3 / 2 ( x² + 1 ) < 0

Furthermore resolved to -

x - 1 ( x + 3 ) / 2 ( x² + 1 ) < 0

Hence ,

x ∈ ( -3 , 1 )

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