Question 147567
{{{2<3x<9}}} Start with the given compound inequality.



{{{(2)/3<x<(9)/3}}} Divide all sides by 3.



{{{2/3<x<3}}} Reduce.



So our answer is {{{2/3<x<3}}}




Here's the graph of the solution set


{{{drawing(500,80,-3, 8,-10, 10,
number_line( 500, -3, 8 ),

blue(line(2/3,0,3,0)),
blue(line(2/3,0.30,3,0.30)),
blue(line(2/3,0.15,3,0.15)),
blue(line(2/3,-0.15,3,-0.15)),
blue(line(2/3,-0.30,3,-0.30)),
circle(2/3,0,0.25),circle(2/3,0,0.20),
circle(3,0,0.25),
circle(3,0,0.20)

)}}} Graph of the solution set


Note:

There is an <b>open</b> circle at {{{x=2/3}}} which means that we're excluding this value from the solution set

Also, there is an <b>open</b> circle at {{{x=3}}} which means that we're excluding this value from the solution set.