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Gekata [30.6K]
3 years ago
13

Which of the following are solutions to | x-1|= 5x + 2 ? Check all that apply.

Mathematics
1 answer:
agasfer [191]3 years ago
4 0

By definition of absolute value, if x-1\ge0, then |x-1|=x-1, so

|x-1|=5x+2\implies x-1=5x+2\implies4x=-3\implies x=-\dfrac34

On the other hand, if x-1, then |x-1|=-(x-1)=1-x, and

|x-1|=5x+2\implies1-x=5x+2\implies6x=-1\implies x=-\dfrac16

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