Question 1122942
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Write an absolute value equation that has the solutions 
{{{highlight(cross(x=2))}}}
x=2
 and 
x=9
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                Pay attention on how I edited your post in order for it makes sense.



<U>Solution</U>


<pre>
Your equation is <U>THIS</U> :


|x - 5.5| = 3.5.    (*)


Notice that 5.5 is the mid-point between 2 and 9:   5.5 = {{{(2+9)/2}}},


and the equation (*)  says that the points x= 2  and  x= 9  are equally remoted at the distance of  3.5  from their mid-point.


Also notice that  3.5 is the half of the distance 9-2 = 7 between the given points (the given values)  x= 2  and  x= 9.
</pre>

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When you will get another similar problem next time, do it in the same way.