Question

решите систему неравенств:
а)2х-3>0
7х+4>0

б)3-2х<1
1,6+х<2,9

Answer 1

а)
$left { {{2x-3 textgreater 0} atop {7x+4 textgreater 0}} right.$
$left { {{2x textgreater 3} atop {7x textgreater -4}} right.$
$left { {{x textgreater 1,5} atop {x textgreater - frac{4}{7} }} right.$
------------(-4/7)---------(1,5)--------------
                ///////////////////xxxxxxxxx
Ответ: $(1,5;+$ ∞ $)$

б)
$left { {{3-2x textless 1} atop {1,6+x textless 2,9}} right.$
$left { {{-2x textless 1-3} atop {x textless 2,9-1,6}} right.$
$left { {{-2x textless -2} atop {x textless 1,3}} right.$
$left { {{x textgreater 1} atop {x textless 1,3}} right.$

-------(1)------(1,3)-----------
         xxxxxxx
Ответ: $(1;1,3)$