Question 261345
{{{abs(5-3x)<=7}}}
<pre><font size = 4 color = "indigo"><b>
To remove the absolute value bars that becomes

{{{-7<=5-3x<=7}}}

Add -5 to all three sides:

{{{-7-5<=5-3x-5<=7-5}}}

{{{-12<=-3x<=2}}}

Divide through by -3 which reverses both inequality
symbols:

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

That is equivalent to

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

This is the graph

---------------------@=======@--------
-3  -2  -1   0   1   2   3   4   5   6

and the interval notation is [2,4]

Edwin</pre>