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Beliebt Algebra >

(3x-1)(x+5)-1<= 3(x-2)+21x

Lösung

(3 x - 1) (x + 5) - 1 \leq 3 (x - 2) + 21 x

Lösung

0 \leq x \leq \frac{10}{3}

+2

Intervall-Notation

[0, \frac{10}{3}]

Dezimale

0 \leq x \leq 3.33333 \dots

Schritte zur Lösung

(3 x - 1) (x + 5) - 1 \leq 3 (x - 2) + 21 x

Rewrite in standard form

3 x^{2} - 10 x \leq 0

Faktorisiere

3 x^{2} - 10 x : x (3 x - 10)

x (3 x - 10) \leq 0

Identifiziere die Intervalle

0 \leq x \leq \frac{10}{3}

Graph

Beliebte Beispiele

\frac{4}{( 3 x - 2 )} \leq - 2

3 x^{2} - 8 < - 2 x

((x-1)(x-2)^3(x-4)^2)/(x+3)>= 0

\frac{( x - 1 ) ( x - 2 ) ^{3} ( x - 4 ) ^{2}}{x + 3} \geq 0

x^{3} + 5 x^{2} + 4 x > 0

m^{2} > 3