Nilai x yang memenuhi pertidaksamaan ∣2x+3∣≤9 adalah ...

Pertanyaan

Nilai x yang memenuhi pertidaksamaan open vertical bar 2 x plus 3 close vertical bar less or equal than 9 adalah ...space 

  1. x less or equal than negative 9 atau x greater or equal than 9 

  2. negative 9 greater or equal than x greater or equal than 9 

  3. negative 6 greater or equal than x greater or equal than 9 

  4. x less or equal than negative 6 atau x greater or equal than 3 

  5. negative 6 less or equal than x less or equal than 3 

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah E.

Pembahasan

Jika open vertical bar f open parentheses x close parentheses close vertical bar less or equal than c dan c greater than 0, maka pertidaksamaan diubah menjadi negative c less or equal than f open parentheses x close parentheses less or equal than c.

Sehingga,

table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar 2 x plus 3 close vertical bar end cell less or equal than 9 row cell negative 9 end cell less or equal than cell 2 x plus 3 less or equal than 9 space open parentheses semua space ruas space dikurang space 3 close parentheses end cell row cell negative 9 minus 3 end cell less or equal than cell 2 x plus 3 minus 3 less or equal than 9 minus 3 end cell row cell negative 12 end cell less or equal than cell 2 x less or equal than 6 space open parentheses semua space ruas space dibagi space 2 close parentheses end cell row cell fraction numerator negative 12 over denominator 2 end fraction end cell less or equal than cell fraction numerator 2 x over denominator 2 end fraction less or equal than 6 over 2 end cell row cell negative 6 end cell less or equal than cell x less or equal than 3 end cell end table  

Maka, nilai x yang memenuhi pertidaksamaan open vertical bar 2 x plus 3 close vertical bar less or equal than 9 adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 6 end table table attributes columnalign right center left columnspacing 0px end attributes row blank less or equal than blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank less or equal than blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 3 end table.

Jadi, jawaban yang tepat adalah E.

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