Nilai x yang memenuhi ∣2x+5∣=14−x adalah ...

Pertanyaan

Nilai x yang memenuhi open vertical bar 2 x plus 5 close vertical bar equals 14 minus x adalah ...

  1. left curly bracket 3 comma space 9 right curly bracket

  2. left curly bracket 9 right curly bracket

  3. left curly bracket negative 9 comma space 3 right curly bracket

  4. left curly bracket negative 3 comma space 9 right curly bracket

  5. left curly bracket 3 right curly bracket

R. Bella

Master Teacher

Mahasiswa/Alumni UIN Syarif Hidayatullah Jakarta

Jawaban terverifikasi

Jawaban

tidak ada jawaban yang tepat.

Pembahasan

Ingat, 

open vertical bar f left parenthesis x right parenthesis close vertical bar equals g left parenthesis x right parenthesis left right arrow open curly brackets table attributes columnalign left end attributes row cell f left parenthesis x right parenthesis equals g left parenthesis x right parenthesis comma space f left parenthesis x right parenthesis greater or equal than 0 end cell row cell f left parenthesis x right parenthesis equals negative g left parenthesis x right parenthesis comma space f left parenthesis x right parenthesis less than 0 end cell end table close

Maka diperoleh definisi:

open vertical bar 2 x plus 5 close vertical bar equals 14 minus x left right arrow open curly brackets table attributes columnalign left end attributes row cell 2 x plus 5 equals 14 minus x comma space x greater or equal than negative 5 over 2 end cell row cell 2 x plus 5 equals negative left parenthesis 14 minus x right parenthesis comma space x less than negative 5 over 2 end cell end table close

untuk x greater or equal than negative 5 over 2

table attributes columnalign right center left columnspacing 0px end attributes row cell 2 x plus 5 end cell equals cell 14 minus x end cell row cell 3 x end cell equals 9 row x equals 3 end table

untuk x less than negative 5 over 2

table attributes columnalign right center left columnspacing 0px end attributes row cell negative left parenthesis 2 x plus 5 right parenthesis end cell equals cell 14 minus x end cell row cell negative 2 x minus 5 end cell equals cell 14 minus x end cell row cell negative x end cell equals 19 row x equals cell negative 19 end cell end table

Jadi, himpunan penyelesaiannya adalah open curly brackets negative 19 comma space 3 close curly brackets

Jadi, tidak ada jawaban yang tepat.

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