Найдите х а) 3(x-2)

July 2022 2 16 Report

Найдите х
а) 3(x-2)<8-2x
b)2x^2-5x-7<0
c)3(x-2)<8-2x и 2x^2-5x-7<0

prostotom $1)\quad 3(x-2)\ \textless \ 8-2x\\\\3x-6\ \textless \ 8-2x\\\\5x\ \textless \ 14\\\\x\ \textless \ 2,8\\\\2)\quad 2x^2-5x-7\ \textless \ 0\\\\D=81\; ,\; \; x_1=-1\; ,\; \; x_2=3,5\\\\2(x+1)(x-3,5)\ \textless \ 0\; \quad +++(-1)---(3,5)+++\\\\x\in (-1;\; 3,5)$

$3)\quad \left \{ {3(x-2)\ \textless \ 8-2x} \atop {2x^2-5x-7\ \textless \ 0}} \right. \; \left \{ {{x\in(-\infty ;\; 2,8)} \atop {x\in (-1;\; 3,5)}} \right. \; \Rightarrow \; \; x\in (-1;\; 2,8)$

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