Ответ:
[tex][-3;-\frac{4}{7})[/tex]
Объяснение:
[tex]\begin{cases}(x-2)(x+2)-x(x+4) > 3x\\2(x-2)-5(x+3)\leq -10 \end{cases} \\\\\begin{cases}x^2-4-x^2-4x > 3x\\2x-4-5x-15\leq -10 \end{cases} \\\\\begin{cases}x^2-4-x^2-4x-3x > 4\\2x-5x\leq -10+4+15 \end{cases} \\\\\begin{cases}-7x > 4\ \ \ |:(-7)\\-3x\leq9\ \ \ |:(-3) \end{cases} \\\\\begin{cases}x < -\frac{4}{7}\\x\geq-3 \end{cases} \\\\x\in[-3;-\frac{4}{7})[/tex]
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Answers & Comments
Ответ:
[tex][-3;-\frac{4}{7})[/tex]
Объяснение:
[tex]\begin{cases}(x-2)(x+2)-x(x+4) > 3x\\2(x-2)-5(x+3)\leq -10 \end{cases} \\\\\begin{cases}x^2-4-x^2-4x > 3x\\2x-4-5x-15\leq -10 \end{cases} \\\\\begin{cases}x^2-4-x^2-4x-3x > 4\\2x-5x\leq -10+4+15 \end{cases} \\\\\begin{cases}-7x > 4\ \ \ |:(-7)\\-3x\leq9\ \ \ |:(-3) \end{cases} \\\\\begin{cases}x < -\frac{4}{7}\\x\geq-3 \end{cases} \\\\x\in[-3;-\frac{4}{7})[/tex]