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Beliebt Algebra >

((x-2)}{(x^2+1)}<\frac{-1)/2

Lösung

\frac{( x - 2 )}{( x ^{2} + 1 )} < \frac{- 1}{2}

Lösung

- 3 < x < 1

+1

Intervall-Notation

(- 3, 1)

Schritte zur Lösung

\frac{x - 2}{x ^{2} + 1} < \frac{- 1}{2}

Rewrite in standard form

\frac{x ^{2} + 2 x - 3}{x ^{2} + 1} < 0

Faktorisiere

\frac{x ^{2} + 2 x - 3}{x ^{2} + 1} : \frac{( x - 1 ) ( x + 3 )}{x ^{2} + 1}

\frac{( x - 1 ) ( x + 3 )}{x ^{2} + 1} < 0

Identifiziere die Intervalle

- 3 < x < 1

Graph

Beliebte Beispiele

1/((x+2))< 3/((x-3))

\frac{1}{( x + 2 )} < \frac{3}{( x - 3 )}

x^3-7x^2+14x-8<0

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x/((x-2))> 1/((x+3))

\frac{x}{( x - 2 )} > \frac{1}{( x + 3 )}

(3x^2+2x-8)/(x^2-2x)<0

\frac{3 x ^{2} + 2 x - 8}{x ^{2} - 2 x} < 0

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