Suppose inequality |2x-1|$\leq$x+1,
should the two cases to consider be
x$\leq$1/2 and x$\geq$1/2 or x$\geq$1/2 and x<1/2?
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1Either way you will get the same answer. – Kavi Rama Murthy Jun 04 '21 at 10:12
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1Actually, it doesn’t matter. Both cover all the possible cases, and lead to the same simplifications. – Jujustum Jun 04 '21 at 10:13
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Thank you for clarifying – A Y Jun 04 '21 at 13:14