Gunakan definisi nilai mutlak x untuk harga nilai mutlak berikut! Tentukan ∣∣​31​x−52​∣∣​ untuk x bilangan real!

Pertanyaan

Gunakan definisi nilai mutlak x untuk harga nilai mutlak berikut!

Tentukan open vertical bar 1 third x minus 2 over 5 close vertical bar untuk x bilangan real!

D. Entry

Master Teacher

Jawaban terverifikasi

Pembahasan

Pembahasan

Dengan definisi nilai mutlak diperoleh

open vertical bar 1 third x minus 2 over 5 close vertical bar equals open curly brackets table attributes columnalign left end attributes row cell 1 third x minus 2 over 5 space space space space space space space space space space space comma space jika space 1 third x minus 2 over 5 greater or equal than 0 end cell row cell negative open parentheses 1 third x minus 2 over 5 close parentheses space space space space space comma space jika space 1 third x minus 2 over 5 less than 0 end cell end table close Sehingga open vertical bar 1 third x minus 2 over 5 close vertical bar equals open curly brackets table attributes columnalign left end attributes row cell 1 third x minus 2 over 5 space space space space space space space space space space space space comma space jika space x greater or equal than 6 over 5 end cell row cell negative 1 third x plus 2 over 5 space space space space space space space space space comma space jika space straight x less than 6 over 5 end cell end table close

Dengan demikian harga nilai mutlaknya adalah sebagai berikut

open vertical bar 1 third x minus 2 over 5 close vertical bar equals open curly brackets table attributes columnalign left end attributes row cell 1 third x minus 2 over 5 space space space space space space space space space space space space comma space jika space x greater or equal than 6 over 5 end cell row cell negative 1 third x plus 2 over 5 space space space space space space space space space comma space jika space straight x less than 6 over 5 end cell end table close.

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