Question 892208
{{{abs(3x)>-15}}}


{{{3abs(x)>-15}}}
{{{abs(x)>-15/3}}}
{{{abs(x)>-5}}}


An absolute value will always be positive or zero; never negative.


IF {{{x>=0}}} THEN
{{{x>-5}}}.


IF {{{x<0}}} THEN
{{{-x>-5}}}
{{{x<5}}}-----multiplied by -1 on both sides must cause reversal of inequality direction


Draw a number line and label with -5, 0, and 5, so you can see clearly.  Graph {{{x>-5}}} and {{{x<5}}}.  You will see that the solution which satisfies BOTH conditions is {{{highlight(-5<x<5)}}} or, the open interval between -5 and +5.