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Tentukan nilai  yang memenuhi pertidaksamaan berikut. c.

Pertanyaan

Tentukan nilai begin mathsize 14px style x end style yang memenuhi pertidaksamaan berikut.

c. fraction numerator size 14px 1 over denominator size 14px x size 14px plus size 14px 1 end fraction size 14px less or equal than fraction numerator size 14px 2 over denominator size 14px 3 size 14px x size 14px minus size 14px 1 end fraction 

  1. ... space 

  2. ... space 

Pembahasan Soal:

Langkah 1 : Menentukan titik angka batas 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 1 over denominator x plus 1 end fraction end cell less or equal than cell fraction numerator 2 over denominator 3 x minus 1 end fraction end cell row cell fraction numerator 1 over denominator x plus 1 end fraction minus fraction numerator 2 over denominator 3 x minus 1 end fraction end cell less or equal than 0 row cell fraction numerator 3 x minus 1 minus 2 left parenthesis x plus 1 right parenthesis over denominator open parentheses x plus 1 close parentheses open parentheses 3 x minus 1 close parentheses end fraction end cell less or equal than 0 row cell fraction numerator 3 x minus 1 minus 2 x minus 2 over denominator open parentheses x plus 1 close parentheses open parentheses 3 x minus 1 close parentheses end fraction end cell less or equal than 0 row cell fraction numerator x minus 3 over denominator left parenthesis x plus 1 right parenthesis left parenthesis 3 x minus 1 right parenthesis end fraction end cell less or equal than 0 row blank blank cell Angka space batas space colon end cell row cell x minus 3 end cell equals 0 row x equals 3 row blank blank blank row cell x plus 1 end cell equals 0 row x equals cell negative 1 end cell row blank blank blank row cell 3 x minus 1 end cell equals 0 row x equals cell 1 third end cell row blank blank blank row blank blank blank end table end style 

 

Langkah 2 : Menentukan syarat lain 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row x not equal to cell negative 1 end cell row x not equal to cell 1 third end cell end table end style 

langkah 3 : Menentukan daerah penyelesaian

 

begin mathsize 14px style x less than negative 1 space atau space 1 third less than x less or equal than 3 end style 

 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 Februari 2021

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