Question 119857



{{{1<4x+1<17}}} Start with the given inequality






{{{0<4x<16}}} Subtract 1 from all sides







{{{0<x<4}}} Divide every side by 4 to isolate x. 




So the solution in interval notation is: (0,4)



Now let's graph the solution set


{{{drawing(500,50,-10,10,-10,10,
number_line( 500, -8, 12),
blue(line(-1.75,-7,1.85,-7)),
blue(line(-1.75,-6,1.85,-6)),
blue(line(-1.75,-5,1.85,-5)),

circle(-2,-5.8,0.35),
circle(-2,-5.8,0.4),
circle(-2,-5.8,0.45),

circle(2,-5.8,0.35),
circle(2,-5.8,0.4),
circle(2,-5.8,0.45)


)}}}


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