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Write an absolute value equation that has the solutions
x=2
and
x=9
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Pay attention on how I edited your post in order for it makes sense.
Solution
Your equation is THIS :
|x - 5.5| = 3.5. (*)
Notice that 5.5 is the mid-point between 2 and 9: 5.5 = ,
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.
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When you will get another similar problem next time, do it in the same way.