SOLUTION: Hello, I am confused on this question | q - 8 | = 14 , I've tried it but I've gotten stuck at the part where I add 8 to 14 and then I only have q = 22 but i don't think that is the

Algebra ->  Absolute-value -> SOLUTION: Hello, I am confused on this question | q - 8 | = 14 , I've tried it but I've gotten stuck at the part where I add 8 to 14 and then I only have q = 22 but i don't think that is the      Log On


   

Question 1167989: Hello, I am confused on this question | q - 8 | = 14 , I've tried it but I've gotten stuck at the part where I add 8 to 14 and then I only have q = 22 but i don't think that is the right answer.
Found 3 solutions by josgarithmetic, MathTherapy, ikleyn:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
You need two separate equations.


If q-8 is nonnegative, the abs%28q-8%29 is q-8.

If q-8 is negative then abs%28q-8%29 is -q%2B8.

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

Hello, I am confused on this question | q - 8 | = 14 , I've tried it but I've gotten stuck at the part where I add 8 to 14 and then I only have q = 22 but i don't think that is the right answer.

Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
.

This equation

    | q - 8 | = 14


tells you that the number q in the number line is 14 units from the number 8.


There are 2 (two, TWO) such numbers:  8+14 = 22  and  8-14 = -6.


So, your answer is these two numbers,  q= -6  and  q= 22.

Solved.

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    - Absolute Value equations
in this site.