Roboguru

Nilai  yang memenuhi pertidaksamaan  adalah....

Pertanyaan

Nilai undefined yang memenuhi pertidaksamaan begin mathsize 14px style square root of negative x plus 3 end root minus square root of 2 x plus 3 end root less or equal than 0 comma space x element of straight real numbers end style adalah....undefined 

  1. begin mathsize 14px style x less or equal than negative 3 over 2 space atau space x greater or equal than 3 end style 

  2. begin mathsize 14px style x less or equal than 0 space atau space x greater or equal than 3 end style 

  3. begin mathsize 14px style x less than 0 space atau space x greater than 3 end style 

  4. begin mathsize 14px style 0 less or equal than x less or equal than 3 end style 

  5. undefined 

Pembahasan Soal:

Kondisi : Jika kedua ruas bernilai positif setelah salah satu akar dipindahkan ruas

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell square root of negative x plus 3 end root minus square root of 2 x plus 3 end root end cell less or equal than 0 row cell square root of negative x plus 3 end root end cell less or equal than cell square root of 2 x plus 3 end root space space space kuadratkan space kedua space ruas end cell row cell negative straight x plus 3 end cell less or equal than cell 2 straight x plus 3 end cell row 0 less or equal than cell 3 straight x end cell row 0 less or equal than straight x row blank blank blank row blank blank blank end table end style 

Syarat lain :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell negative x plus 3 end cell greater or equal than 0 row cell negative x end cell greater or equal than cell negative 3 end cell row x less or equal than 3 row blank blank blank row cell 2 x plus 3 end cell greater or equal than 0 row cell 2 x end cell greater or equal than cell negative 3 end cell row x greater or equal than cell fraction numerator negative 3 over denominator 2 end fraction end cell end table end style 

Daerah penyelesaian :

Jadi jawaban yang tepat adalah D

 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 04 Februari 2021

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