Lang Sandoval
03/09/2023 · Senior High School
Exercice \( { }^{\circ} 1: \) 1. Résoudre les inéquations suivantes et donner leurs ensembles de solutions sous forme d'intervalle sachant que \( x \) est un nombre réel. a) \( 2 x+9 \geq 19-2 x \) b) \( 2(x-15)>3+x \) 2. Déterminer l'intersection de ces deux intervalles: \[ I=[2,5 ;+\infty[\text { et } J=]-\infty ; 9[\text {. } \] 3. Donner un encadrement dest \( { }^{\circ} \mathrm{sí}: \) \[ t \in I \cap J . \]
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1. Résoudre les inéquations :
a) \(2x + 9 \geq 19 - 2x\) : \(x \geq 2.5\)
b) \(2(x - 15) > 3 + x\) : \(x > 33\)
2. Intersection des intervalles \(I=[2,5;+\infty[\) et \(J=]-\infty; 9[\) : \(I \cap J = [2,5;9[\)
3. Encadrement pour \(t\) : \(t \in [2,5;9[\)
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