Question

 Решите неравенство

|4-3x|>=6

Answer 1

|4-3x|>=6{4-3x < 0 x> 4/3 
{3x-4 > =6 x> =10/3 - > x > =10/3 

{4-3x > =0 x < =4/3 
{4-3x > =6 x < =-2/3 - > x < =-2/3 
Ответ: x < =-2/3 и x > =10/3 

Answer 2

$left { {{4-3x>=6} atop { 4-3x<=-6}} right.$
$left { {{-3x>=2} atop {-3x<=-10}} right.$
$left { {{x>=- frac{2}{3} } atop {x<= frac{10}{3} }} right.$
x[$-frac{2}{3} ; frac{10}{3}$]