Question 117958


{{{-6<x+3<6}}} Start with the given inequality






{{{-9<x<3}}} Subtract 3 from all sides




So the solution in interval notation is: (-9,3)



Now let's graph the solution set


{{{drawing(500,50,-10,10,-10,10,
number_line( 500, -13, 7),
blue(line(-5.75,-7,5.85,-7)),
blue(line(-5.75,-6,5.85,-6)),
blue(line(-5.75,-5,5.85,-5)),

circle(-6,-5.8,0.35),
circle(-6,-5.8,0.4),
circle(-6,-5.8,0.45),

circle(6,-5.8,0.35),
circle(6,-5.8,0.4),
circle(6,-5.8,0.45)


)}}}


Note: at {{{x=-9}}} there is a <font size="4"><b>open</b></font>  circle (which means this point is excluded) and at {{{x=3}}} there is a <font size="4"><b>open</b></font> circle (which means this point is excluded)