Question 1174714
<pre>
{{{-4 <= -4x - 12 < 4}}}

Add 12 to all three sides:

{{{-4+12 <= -4x - 12+12 < 4+12}}}

{{{8 <= -4x  < 16}}}

Divide all three sides by -4, and since we are
dividing by a negative number, the inequalities
reverse their direction:

{{{-2 >= x > -4}}}

It is most common to leave final inequalities in terms of
≤ and < rather that ≥ and >

{{{-4 < x <= -2}}}

Since we want interval notation, we plot it on a number line

-----o=======●---------------------
-6  -4  -3  -2  -1   -0   1   2   3  

The interval notation is an abbreviation for the graph on a number line:

    (-4,-2]

Edwin</pre>