Question 146068
# 15


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



{{{-8<x<2}}} Subtract 3 from all sides



So the solution is 


{{{-8<x<2}}}



Which in interval notation is: (-8,2)



Now let's graph the solution set


{{{drawing(500,50,-10,10,-10,10,
number_line( 500, -13, 7),
blue(line(-4.75,-7,4.85,-7)),
blue(line(-4.75,-6,4.85,-6)),
blue(line(-4.75,-5,4.85,-5)),

circle(-5,-5.8,0.35),
circle(-5,-5.8,0.4),
circle(-5,-5.8,0.45),

circle(5,-5.8,0.35),
circle(5,-5.8,0.4),
circle(5,-5.8,0.45)


)}}}


Note: at {{{x=-8}}} there is a <font size="4"><b>open</b></font>  circle (which means this point is excluded) and at {{{x=2}}} there is a <font size="4"><b>open</b></font> circle (which means this point is excluded)