Question 126048


{{{-5<x-3<6}}} Start with the given inequality






{{{-2<x<9}}} Add 3 to all sides





So the solution in interval notation is: (-2,9)



Now let's graph the solution set


{{{drawing(500,50,-10,10,-10,10,
number_line( 500, -6.5, 13.5),
blue(line(-5.25,-7,5.35,-7)),
blue(line(-5.25,-6,5.35,-6)),
blue(line(-5.25,-5,5.35,-5)),

circle(-5.5,-5.8,0.35),
circle(-5.5,-5.8,0.4),
circle(-5.5,-5.8,0.45),

circle(5.5,-5.8,0.35),
circle(5.5,-5.8,0.4),
circle(5.5,-5.8,0.45)


)}}}


Note: at {{{x=-2}}} there is a <font size="4"><b>open</b></font>  circle (which means this point is excluded) and at {{{x=9}}} there is a <font size="4"><b>open</b></font> circle (which means this point is excluded)