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A problem in the mid-term exam of high school mathematics in Liangfeng senior high school (about function)
kx^2-2x+6k<; 0 stands for everything 2

k = 0-2x & lt; 0x & gt; 0

K is not equal to 0k>;; 0f(2)& lt; 0f(3)& lt; 0

k & lt0-b/2a & lt; 2 f(2)& lt; 0

2 & lt=-b/2a & lt; = 3 f(-b/2a)& lt; 0

-b/2a & gt; 3 f(3)& lt; 0

Simplify the above situation and pay attention to the conditions of the value range.