SOLUTION: Absolute value equation that has the solutions x= -10 and x= -5

Algebra.Com
Question 1126298: Absolute value equation that has the solutions x= -10 and x= -5
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
and







Answer by ikleyn(52943)   (Show Source): You can put this solution on YOUR website!
.
The simplest such an absolute value equation is


    |x - (-7.5)| = 2.5,        (1)    or equivalently

    |X + 7.5|    = 2.5.        (2)


Equation (1) says that the values  x= -10  and x= -5  are equally remoted from the point x= -7.5  on the number line.


Notice that  the distance from the value of -7.5 to -10  and -5 is 2.5,

which is exactly half of the distance between the point -10 and -5.

--------------

I am 129% sure that this form equation is exactly what the assignment and the teacher is expected to get from you.

When you will get similar problem next time, solve it exactly in this way.



RELATED QUESTIONS

Write an absolute value equation that has the solutions x=−6 and x=10. (answered by MathLover1,ikleyn)
(answered by ikleyn)
How do you write an absolute value equation that has the solutions x=−6 and x=10? (answered by ikleyn)
How do you write an absolute value equation that has the solutions x=−6 and x=10? (answered by ikleyn)
Item... (answered by ikleyn)
Write an absolute value equation that has the solutions x=8 x=8 and... (answered by greenestamps)
Write an absolute value equation that has the solutions x=2 x=2 and... (answered by ikleyn)
Write an absolute value equation that has the solutions x=2x=2 and... (answered by ikleyn)
Write an absolute value equation that has the solutions x=−10 and... (answered by MathLover1,ikleyn)