Question 100033
 {{{2 < 2x-5 < 7}}} Start with the given compound inequality




{{{7 < 2x < 12}}} Add 5 to  all sides



{{{7/2 < x < 6}}}  Divide all sides by 2



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Answer:


So our answer is


{{{7/2 < x < 6}}}




which looks like this in interval notation



*[Tex \LARGE \left(\frac{7}{2},6\right)]


if you wanted to graph the solution set, you would get


{{{drawing(500,50,-10,10,-10,10,
number_line( 500, -7.5, 12.5),
blue(line(1.5,-7,3.15,-7)),
blue(line(1.5,-6,3.15,-6)),
blue(line(1.5,-5,3.15,-5)),


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


circle(3.5,-5.8,0.35),
circle(3.5,-5.8,0.4),
circle(3.5,-5.8,0.45)


)}}} Graph of the solution set in blue and the excluded values represented by open circles