Nilai x yang memenuhi pertidaksamaan ∣ 4 x − 2 ∣ > 14 adalah ....

Pembahasan

Ingat sifat pertidaksamaan nilai mutlak: ∣ f ( x ) ∣ ≤ a ↔ f ( x ) ≤ − a atau f ( x ) ≥ a Dengan menggunakan sifat pertidaksamaan nilai mutlak. ∣ 4 x − 2 ∣ > 14 ↔ 4 x − 2 < − 14 atau 4 x − 2 > 14 atau &14\\4x-2{\color[rgb]{1.0, 0.0, 0.0}+}{\color[rgb]{1.0, 0.0, 0.0}2}&>&14{\color[rgb]{1.0, 0.0, 0.0}+}{\color[rgb]{1.0, 0.0, 0.0}2}\\{\color[rgb]{0.1, 0.1, 0.1}4}{\color[rgb]{0.1, 0.1, 0.1}x}&{\color[rgb]{0.1, 0.1, 0.1}>}&{\color[rgb]{0.1, 0.1, 0.1}16}{\color[rgb]{0.1, 0.1, 0.1}\;}{\color[rgb]{0.1, 0.1, 0.1}\;}{\color[rgb]{1.0, 0.0, 0.0}(}{\color[rgb]{1.0, 0.0, 0.0}\mathrm bagi}{\color[rgb]{1.0, 0.0, 0.0}\;}{\color[rgb]{1.0, 0.0, 0.0}4}{\color[rgb]{1.0, 0.0, 0.0})}\\{\color[rgb]{0.1, 0.1, 0.1}x}&{\color[rgb]{0.1, 0.1, 0.1}>}&{\color[rgb]{0.1, 0.1, 0.1}4}\end{array}" data-mathml="«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable columnspacing=¨0px¨ columnalign=¨right center 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style="max-width: none;"> Diperolehhimpunan penyelesaian dari ∣ 4 x − 2 ∣ > 14 adalah x < − 3 atau x > 4 . Jadi, jawaban yang tepat adalah A.