Pertanyaan

$open vertical bar negative 16 close vertical bar minus 2 open vertical bar 4 close vertical bar plus fraction numerator open vertical bar negative 4 close vertical bar over denominator open vertical bar 2 close vertical bar end fraction equals horizontal ellipsis$

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Klaim

A. Acfreelance

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Pembahasan

Ingat bahwa Berdasarkan definisi dansifatnilai mutlak serta memperhatikan operasi yang ada, maka didapat hasil sebagai berikut. Dengan demikian, nilai dari adalah .

Ingat bahwa

open vertical bar x close vertical bar equals open curly brackets table row cell x comma text jika end text blank x greater or equal than 0 end cell row cell negative x comma blank text jika end text blank x less than 0 end cell end table close

Berdasarkan definisi dan sifat nilai mutlak serta memperhatikan operasi yang ada, maka didapat hasil sebagai berikut.

$vertical line minus 16 vertical line minus 2 vertical line 4 vertical line plus fraction numerator vertical line minus 4 vertical line over denominator vertical line 2 vertical line end fraction equals vertical line 16 vertical line minus vertical line 2 cross times 4 vertical line plus fraction numerator vertical line 4 vertical line over denominator vertical line 2 vertical line end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals vertical line 16 vertical line minus vertical line 8 vertical line plus open vertical bar 4 over 2 close vertical bar space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals vertical line 16 vertical line minus vertical line 8 vertical line plus vertical line 2 vertical line space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 16 minus 8 plus 2 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 10$

Dengan demikian, nilai dari $vertical line minus 16 vertical line minus 2 vertical line 4 vertical line plus fraction numerator vertical line minus 4 vertical line over denominator vertical line 2 vertical line end fraction$ adalah .