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Nilai-nilai yang memenuhi ∣ x + 3 ∣ ≤ ∣ 2 x ∣ adalah...

Nilai-nilai yang memenuhi  adalah...space 

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N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

HP equals open curly brackets x less or equal than negative 1 space atau space x greater or equal than 3 space close curly brackets. space   

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Pembahasan

Pembahasan
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Perhatikan penghitungan berikut! Jadi,

Perhatikan penghitungan berikut!

 Sifat space nilai space mutlak open vertical bar f open parentheses x close parentheses close vertical bar less or equal than open vertical bar g open parentheses x close parentheses close vertical bar left right arrow f open parentheses x close parentheses squared less or equal than g open parentheses x close parentheses squared  open vertical bar x plus 3 close vertical bar less or equal than open vertical bar 2 x close vertical bar open parentheses x plus 3 close parentheses squared less or equal than open parentheses 2 x close parentheses squared open parentheses x squared plus 6 x plus 9 close parentheses less or equal than 4 x squared x squared plus 6 x plus 9 minus 4 x squared less or equal than 0 minus 3 x squared plus 6 x plus 9 less or equal than 0 x squared minus 2 x minus 3 greater or equal than 0 left parenthesis x minus 3 right parenthesis left parenthesis x plus 1 right parenthesis greater or equal than 0 Uji space titik colon x minus 3 equals 0 rightwards arrow x equals 3 x plus 1 equals 0 rightwards arrow x equals negative 1  untuk space x less or equal than negative 1 misal space x equals negative 2 rightwards arrow open parentheses negative 2 minus 3 close parentheses open parentheses negative 2 plus 1 close parentheses equals 5 space open parentheses positif close parentheses  untuk space minus 1 less or equal than x less or equal than 3 misal space x equals 0 rightwards arrow open parentheses 0 minus 3 close parentheses open parentheses 0 plus 1 close parentheses equals negative 3 space open parentheses negatif close parentheses  untuk space x greater or equal than 3 misal space x equals 4 rightwards arrow open parentheses 4 minus 3 close parentheses open parentheses 4 plus 1 close parentheses equals 5 space open parentheses positif close parentheses             

Jadi, HP equals open curly brackets x less or equal than negative 1 space atau space x greater or equal than 3 space close curly brackets. space   

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