Fleming Luna
01/10/2023 · High School
ExERCICE 3 Inéquation Résoudre dans \( \mathbb{R} \) les inéquations suivantes : \( \begin{array}{lll}\text { 1) } x^{2}+3 x-4 \leqslant 0 & \text { 2) } 7 x-3 \leqslant 2 x^{2} & \text { 3) } \frac{5 x^{2}-3 x}{x^{2}+4 x+3} \geqslant 0\end{array} \)
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**Exercice 3 : Inéquations**
Résolvons chacune des inéquations dans \( \mathbb{R} \) :
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1. \( x^{2} + 3x - 4 \leqslant 0 \)
- **Solution :** \( x \in [-4, \, 1] \)
2. \( 7x - 3 \leqslant 2x^{2} \)
- **Solution :** \( x \in (-\infty, \, 0.5] \cup [3, \, +\infty) \)
3. \( \frac{5x^{2} - 3x}{x^{2} + 4x + 3} \geqslant 0 \)
- **Solution :** \( x \in (-\infty, -3) \cup (-1, \, 0] \cup \left[\frac{3}{5}, \, +\infty\right) \)
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