What is the sum of the solutions of 2{x-1}-4=-2 ?
A. 1 1/2
B. 0
C. -2
D. 2
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OpenStudy (anonymous):
@zzr0ck3r
OpenStudy (anonymous):
@Astrophysics
OpenStudy (zzr0ck3r):
is that \(2|x-1|-4=-2\)
?
OpenStudy (astrophysics):
Are those parentheses/brackets or absolute value as zz suggested?
OpenStudy (anonymous):
absolute like zz
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OpenStudy (zzr0ck3r):
\(2|x-1|-4=-2\iff|x-1|-2=-1\iff|x-1|=1\iff x-1=1\text{ and } \\x-1=-1\)
OpenStudy (anonymous):
what?!?!?
OpenStudy (astrophysics):
\[2|x-1|-4=-2\]
Well you could always plug in the solutions given and see if left side = right side,
or you can solve for x.
\[|x-1| = 1 \]
\[x-1 = 1 \implies x = 2\]
OpenStudy (anonymous):
oh ok??
OpenStudy (astrophysics):
Alright I'll show you step by step,
|dw:1405387047755:dw|
|dw:1405387089371:dw|
technically your answer should also be x = 0, since we're dealing with absolute values, and I'm not entirely sure what you've been taught. But I hope this helps, good luck :)