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Résolvez l'inéquation \(\dfrac{x-2}{x+1}>3\).
\(\, ]-\infty;-\frac{5}{2}[\, \cup\, ]-1;+\infty[\)
\(\, ]-\frac{5}{2},-1[\)
\(\, ]-1,\frac{1}{2}[\)
\(\, ]-\infty;-\frac{5}{2}\)
Résolvez l'inéquation \(\mid 3x+1\mid -\mid x+1\mid\geq 1\).
\(\emptyset\)
\(\, ]-\infty;-\frac{3}{4}]\cup [\frac{1}{2};+\infty[\)
\([-\frac{3}{4},-\frac{1}{3}[\, \cup [\frac{1}{2};+\infty[\,\)
\([\frac{1}{2};+\infty[\)
Résolvez l'inéquation \(\dfrac{x^3-4x^2+x+6}{x^2-2x-3}\leq 0\).
\(\, ]-\infty;-1[\)
\(\, ]-\infty;1[\, \cup\, ]1,2]\)
\(\, ]-\infty;2]\)
\(\, ]-\infty;-1[\, \cup\, ]-1,2]\)
Résolvez l'inéquation \(\dfrac{1}{x}\leq -2\).
\([-\frac{1}{2};+\infty[\,\)
\(\, ]-\infty;-\frac{1}{2}]\)
\([-\frac{1}{2},0[\,\)
\([-\frac{1}{2}:0[\, \cup\, ]0;+\infty[\)
Résolvez l'inéquation \(\dfrac{x^2+x-6}{x^2-4x+4}\geq 0\).
\(\, ]-\infty;-3]\cup [2;+\infty[\,\)
\(\, ]-\infty;-2[\, \cup [3;+\infty[\,\)
\(\, ]-\infty;-3]\cup\, ]2;+\infty[\, \)
\([2;+\infty[\,\)
Résolvez l'inéquation \(\dfrac{x^2-2x+1}{x^3-x}\geq 0\).
\(\, ]-1;0[\, \cup\, ]1;+\infty[\,\)
\(\mathbb{R}\setminus\{-1, 0, 1\}\)
\([1;+\infty[\,\)
\(\, ]0;+\infty[\)
Résolvez l'inéquation \(\dfrac{(x^2-2x)(-x^2+x-1)}{x-2}\leq 0\).
\([0,2[\, \cup\, ]2;+\infty[\)
\([0;+\infty[\)
\(\, ]-\infty;0]\)
Résolvez l'inéquation \(\dfrac{3x^2-2x-5}{-x^2-3x-2}\leq 0\).
\(\, ]-2,-1[\,\cup ]-1,\frac{5}{3}]\)
\(\, ]-\infty;-2[\, \cup\, ]-1,\frac{5}{3}]\)
\(\, ]-1,\frac{5}{3}]\)
\([-2;\frac{5}{3}]\)
Résolvez l'inéquation \(\dfrac{x}{x^3-8}>\dfrac{1}{x^2-4}.\)
\(\, ]-\infty;-2[\, \cup\, ]-2,2[\)
\(\, ]-2,2[\,\)
\(\, ]-\infty;-2[\, \cup\, ]2;+\infty[\,\)
Résolvez l'inéquation \(\mid x-1\mid+\mid x-2\mid >1\).
\(\, ]-\infty;1[\, \cup\, ]2;+\infty[\,\)
\(\, ]2;+\infty[\,\)
\(\, ]-1;+\infty[\,\)