<PRE><B>Question 1148538</B>
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Rewrite the given expression {{{(x+y)/x}}} as {{{1+y/x}}}.&lt;br&gt;
The allowable x values are all negative, and the allowable y values are all positive; that means y/x is negative.&lt;br&gt;
Since we want the value of the expression to be as large as possible, we want to subtract the smallest amount we can.  That means we want the absolute value of the numerator to be as small as possible and the absolute value of the denominator to be as large as possible.&lt;br&gt;
So we choose y=2 and x=-4; and the largest possible value we can get for the expression is&lt;br&gt;
{{{1+y/x = 1+(2/-4) = 1-1/2 = 1/2}}}&lt;br&gt;
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to tutor @ikleyn...&lt;br&gt;
why, oh why, do you have to be so thin-skinned when another tutor posts a solution that is similar to yours?&lt;br&gt;
The purpose of my post was not to increase my number of posts by re-telling your solution.&lt;br&gt;
In your post, you start out by saying that the solution is simple -- and then you introduce the totally unnecessary picture of a rectangle in the coordinate plane defining the specified x- and y-values.&lt;br&gt;
My post was made to provide a solution that was simpler than your &quot;simple&quot; solution.&lt;br&gt;
GROW UP!&lt;br&gt;
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