Помогите решить квадратные неравенства.

Question

Помогите решить квадратные неравенства.

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Answer 1

0} \\ \binom{x + 6 > 0}{x + 4 < 0} \\ \binom{x < - 6}{x > - 4} \\ \binom{x > - 6}{x < - 4} \\ x( - 6. - 4)" alt="1. |x| < 5 \\ x < 5.x \geqslant 0 \\ - x < 5.x < 0 \\ x(0.5) \\ 2. \\ x {}^{2} + 6x + 4x + 24 < 0 \\ x(x + 6) + 4(x + 4) < 0 \\ (x + 6)(x + 4) < 0 \\ \binom{x + 6 < 0}{x + 4 > 0} \\ \binom{x + 6 > 0}{x + 4 < 0} \\ \binom{x < - 6}{x > - 4} \\ \binom{x > - 6}{x < - 4} \\ x( - 6. - 4)" align="absmiddle" class="latex-formula">

Answer 2

x\\x\in (-5;5)" alt="x^2<25\\x^2-25<0\\(x-5)(x+5)<0\\+++(-5)---(5)+++>x\\x\in (-5;5)" align="absmiddle" class="latex-formula">

Ответ:

x\\x\in(-6;-4)\\" alt="x^2+10x+24<0\\y=x^2+10x+24\\y=0;\\x^2+10x+24=0\\D=100-4\cdot24=4=2^2\\x_{1,2}=\frac{-10\pm2}{2}=|{ {{-4} \atop {-6}} \right. \\+++(-6)---(-4)+++>x\\x\in(-6;-4)\\" align="absmiddle" class="latex-formula">

Ответ: