Question

hallar el conjunto solución :
-x/4-4≥5x/3-1/6

Answer 1

Respuesta:

$-\frac{x}{4} - 4 \geq 5\frac{x}{3}- \frac{1}{6}\\\\\\\frac{-x-16}{4} \geq \frac{5x}{3} - \frac{1}{6}\\\\\\\frac{-x-16}{4} \geq \frac{2(5x) - 1}{6}\\\\\\\frac{-x-16}{4} \geq \frac{10x - 1}{6}\\\\6(-x - 16) \geq 4(10x - 1)\\\\-6x - 96 \geq 40x - 4\\\\-6x - 40x \geq -4 + 96\\\\-46x \geq 92\\\\x\leq -\frac{92}{46} \\\\x\leq -2$

( -∞ ; -2 ]

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