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Multimea solutiilor inecuatiei:(√7-3)x-3≤√7

Răspuns :

(√7-3)x-3≤√7
(√7-3)x≤√7+3
x≥-(√7+3)/(3-√7)
x≥-16+6√7/2
x≥-8-3√7
x∈[-8-3√7,∞)
[tex]( \sqrt{7} -3)x \leq \sqrt{7} +3|\cdot(-1)\\ ( 3-\sqrt{7} )x \geq - (\sqrt{7} +3) \\ x \geq \frac{- (\sqrt{7} +3)}{3-\sqrt{7}} \\ x \geq -\frac{(\sqrt{7}+3)^2}{2} \\ x \geq - \frac{16+6\sqrt{7}}{2} \\ x \geq -8-3\sqrt{7}\\ x\in[-8-3\sqrt{7},+\infty)[/tex]Scrie răspunsul tău aici