Question 549730
|x-9| < 11 
This means that either :
1) {{{x-9<11}}}
{{{x<11+9}}}
{{{x<20}}}

or 
2) {{{-(x-9) < 11 }}}
{{{(x-9) > -11 }}}
Note in the step above I divided both sides by -1 , so I had to switch the inequality (switch the inequality whenever you multiply or divide by a negative number)
{{{x > -11+9 }}}
{{{x > -2 }}}


So putting these two restrictions on x we get:
{{{-2<x<20}}}
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Hopefully this helps!
Romans 5:8