Nilai nilai yang memenuhi pertidaksamaan |x - 3| > |2x - 2| adalah.... Question from @FathAuzan8

October 2018 2 33 Report

Nilai nilai yang memenuhi pertidaksamaan |x - 3| > |2x - 2| adalah....

Pramudyadi X-3 > 2x-2
x-(-2x) > (-2)+3
x+2x > 1
3x > 1
x > 1/3

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izharulhaq78 $|x-3|\ \textgreater \ |2x-2|\\(x-3+[2x-2])(x-3-[2x-2])\ \textgreater \ 0\\(x-3+2x-2)(x-3-2x+2)\ \textgreater \ 0\\(3x-5)(-1-x)\ \textgreater \ 0\\\\3x-5\ \textgreater \ 0\\3x\ \textgreater \ 5\\x\ \textgreater \ \frac{5}{3}\\\\\text{atau}\\\\-1-x\ \textgreater \ 0\\-1\ \textgreater \ x\to x\ \textless \ -1\\\\\text{garis bilangan}$
$\xrightarrow{-----+++---}\\{~~~~~-1~~~~~~\frac{5}{3}}\\\\\boxed{HP=\{x|-1\ \textless \ x\ \textless \ \frac{5}{3}\}}$

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