Question 354744
Please help me with this problem:  If {{{75 < (x-2)/3 < 76}}}, what is one possible value of {{{(x-2)/6}}}?
<pre><b>
If {{{75 < (x-2)/3 < 76}}}

Multiply all three sides by {{{red(1/2)}}} to get {{{(x-2)/6}}} in the middle:

{{{red(expr(1/2))*75 < red(expr(1/2))*expr((x-2)/3) < red(expr(1/2))*76}}}

{{{75/2 < (x-2)/6 < 76/2}}}

{{{37&1/2<(x-2)/6<38}}}

One value would be a number between {{{37&1/2}}} and {{{38}}}.

Such a number is {{{37&3/4}}} or expressed as an improper fraction {{{151/4}}}

Edwin</pre>