How many solutions exist to the equation $|x|=|2x - 1|$?
I just don't know where to start from, so I humbly need your help.
2026-03-31 12:12:20.1774959140
Solutions to an equation.
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Hnt: you must do case work: a) $$x\geq \frac{1}{2}$$ and we have to solve $$x=2x-1$$ b) $$0\le x <\frac{1}{2}$$ thus we get $$x=-2x+1$$ c)$$x<0$$ and we have to solve $$-x=-2x+1$$