Question 119513
{{{-3 > 7y-3 > -24}}} Start with the given compound inequality



{{{-24 < 7y-3 < -3}}} Reverse the compound inequality by switching the outer sides and reversing the inequality signs




{{{-21<7y<0}}} Add 3 to all sides







{{{-3<y<0}}} Divide every side by 7 to isolate y. 




So the solution in interval notation is: (-3,0)



Now let's graph the solution set


{{{drawing(500,50,-10,10,-10,10,
number_line( 500, -11.5, 8.5),
blue(line(-1.25,-7,1.35,-7)),
blue(line(-1.25,-6,1.35,-6)),
blue(line(-1.25,-5,1.35,-5)),

circle(-1.5,-5.8,0.35),
circle(-1.5,-5.8,0.4),
circle(-1.5,-5.8,0.45),

circle(1.5,-5.8,0.35),
circle(1.5,-5.8,0.4),
circle(1.5,-5.8,0.45)


)}}}


Note: at {{{y=-3}}} there is a <font size="4"><b>open</b></font>  circle (which means this point is excluded) and at {{{y=0}}} there is a <font size="4"><b>open</b></font> circle (which means this point is excluded)