Question 288556
<pre><font size = 4 color = "indigo"><b>

{{{-2 < -4x + 6 <= 10}}}

Add -6 to all three sides:

{{{-8<-4x<=4}}}

Divide all three sides by {{{-4}}} which reverses the
inequalities:

{{{2>x>=-1}}}

That's what you got.  You should be able to recognize it 
as the same as

{{{-1<=x<2}}}.  

Edwin</pre>