Question

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Answer 1

$\frac{ x^{2} - y^{2} }{ x^{2} +2xy+ y^{2} }= \frac{(x-y)(x+y)}{(x+y) ^{2} }= \frac{x-y}{x+y}\\\\ \frac{23,5-6,5}{23,5+6,5} = \frac{17}{30}\\\\\\ \frac{2x}{4x+3} \geq \frac{1}{2} \\\\ \frac{2x}{4x+3}- \frac{1}{2} \geq 0\\\\ \frac{4x-4x-3}{2(4x+3)} \geq 0\\\\ -\frac{3}{2(4x+3)} \geq 0\\\\ \frac{1}{4x+3} \leq 0\\\\4x+3 \leq 0\\\\4x \leq -3\\\\x \leq -0,75$
ОДЗ: 4x + 3 ≠ 0     ⇒  x ≠ - 0,75
Ответ: (- ∞ ; - 0,75)