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Beliebt Algebra >

((8x^2+16x-51))/(((2x-3)(x+4)))<3

Lösung

\frac{( 8 x ^{2} + 16 x - 51 )}{( ( 2 x - 3 ) ( x + 4 ) )} < 3

Lösung

- 4 < x < - 3 or \frac{3}{2} < x < \frac{5}{2}

+2

Intervall-Notation

(- 4, - 3) \cup (\frac{3}{2}, \frac{5}{2})

Dezimale

- 4 < x < - 3 or 1.5 < x < 2.5

Schritte zur Lösung

\frac{8 x ^{2} + 16 x - 51}{( 2 x - 3 ) ( x + 4 )} < 3

Rewrite in standard form

\frac{2 x ^{2} + x - 15}{( 2 x - 3 ) ( x + 4 )} < 0

Faktorisiere

\frac{2 x ^{2} + x - 15}{( 2 x - 3 ) ( x + 4 )} : \frac{( 2 x - 5 ) ( x + 3 )}{( 2 x - 3 ) ( x + 4 )}

\frac{( 2 x - 5 ) ( x + 3 )}{( 2 x - 3 ) ( x + 4 )} < 0

Identifiziere die Intervalle

- 4 < x < - 3 or \frac{3}{2} < x < \frac{5}{2}

Graph

Beliebte Beispiele

1/((x+1))>= 2/((x+2))

\frac{1}{( x + 1 )} \geq \frac{2}{( x + 2 )}

((2x-x^2+11))/((x^2+2x+3))>= 1

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(x-1)^3*(x+1)*(x+2)^6<0

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