Question

Rezolvati in Z
$|12-4x|\leq 2|x-3|$

Answer 1

Explicație pas cu pas:

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Answer 2

$|12-4x|\leq 2|x-3| \\\\\Leftrightarrow\,\,|4(3-x)|\leq2|x-3|\\ \\ \Leftrightarrow\,\,|4(x-3)|\leq 2|x-3| \\\\ \Leftrightarrow\,\,4|x-3|\leq 2|x-3|\\ \\ \Leftrightarrow\,\,4|x-3| - 2|x-3|\leq 0\\ \\\Leftrightarrow\,\, 2|x-3|\leq 0 \\ \\ \Leftrightarrow\,\, |x-3| \leq 0\,\, \Leftrightarrow\,\,0\leq x-3\leq 0\,\Rightarrow\,\boxed{x = 3}$