Question

Помогите пожалуйста!Найдите произведение наибольшего и наименьшего натуральных решений неравенства 6 1/3<|x|<11,2

Answer 1

6¹/₃<|x|<11.2
{6¹/₃<x<11,2        Xmax=11
{6¹/3<-x<11,2   |×(-1)   -11,2<x<-6¹/₃     Xmin=-11
-11×11=-121.

Answer 2

6 1/3<|x|<11,2
{|x|>6 1/3⇒x<-6,13 U x>6,13
{|x|<11,2⇒-11,2<x<11,2

\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\                    /////////////////////////////////////////
------(-11,2)-----------(-6 1/3)-----------(6 1/3)------------(11,2)-----------
          \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\
x∈(-11,2;-6 1/3) U (6 1/3;11,2)
xmin=-11
xmax=11
-1*11=-121