Question 126044


{{{-14<7x<21}}} Start with the given inequality





{{{-2<x<3}}} Divide every side by 7 to isolate x. 




So the solution in interval notation is: (-2,3)



Now let's graph the solution set


{{{drawing(500,50,-10,10,-10,10,
number_line( 500, -9.5, 10.5),
blue(line(-2.25,-7,2.35,-7)),
blue(line(-2.25,-6,2.35,-6)),
blue(line(-2.25,-5,2.35,-5)),

circle(-2.5,-5.8,0.35),
circle(-2.5,-5.8,0.4),
circle(-2.5,-5.8,0.45),

circle(2.5,-5.8,0.35),
circle(2.5,-5.8,0.4),
circle(2.5,-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=3}}} there is a <font size="4"><b>open</b></font> circle (which means this point is excluded)