Question 126043



{{{6<x-6<8}}} Start with the given inequality






{{{12<x<14}}} Add 6 to all sides






So the solution in interval notation is: (12,14)



Now let's graph the solution set


{{{drawing(500,50,-10,10,-10,10,
number_line( 500, 3, 23),
blue(line(-0.75,-7,0.85,-7)),
blue(line(-0.75,-6,0.85,-6)),
blue(line(-0.75,-5,0.85,-5)),

circle(-1,-5.8,0.35),
circle(-1,-5.8,0.4),
circle(-1,-5.8,0.45),

circle(1,-5.8,0.35),
circle(1,-5.8,0.4),
circle(1,-5.8,0.45)


)}}}


Note: at {{{x=12}}} there is a <font size="4"><b>open</b></font>  circle (which means this point is excluded) and at {{{x=14}}} there is a <font size="4"><b>open</b></font> circle (which means this point is excluded)