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Himpunan penyelesaian dari pertidaksamaan adalah.....

Himpunan penyelesaian dari pertidaksamaan blank to the power of 1 half end exponent log left parenthesis x minus 2 right parenthesis greater or equal than negative 2 adalah.....

  1. {x|x 6}

  2. left curly bracket x vertical line x greater or equal than 6 right curly bracket

  3. left curly bracket x vertical line 2 less or equal than x less or equal than 6 right curly bracket

  4. left curly bracket x vertical line 2 less than x less or equal than 6 right curly bracket

  5. left curly bracket x vertical line minus 1 less or equal than x less than negative 1 right curly bracket

Jawaban:

log presubscript straight space presuperscript 1 half end presuperscript open parentheses straight x minus 2 close parentheses greater or equal than negative 2  Syarat space pada space logaritma space colon  straight x minus 2 greater than 0 rightwards double arrow straight x greater than 2 horizontal ellipsis.. left parenthesis 1 right parenthesis  Dengan space menggunakan space sifat space logaritma  logb presubscript straight space presuperscript straight a less than straight c equals straight b less than straight a to the power of straight c comma straight space untuk straight space straight a greater than 1  logb presubscript straight space presuperscript straight a less than straight c equals straight b greater than straight a to the power of straight c comma straight space untuk straight space 0 less than straight a less than 1    Maka space dapat space dilihat space pada space soal space colon  log presubscript straight space presuperscript 1 half end presuperscript open parentheses straight x minus 2 close parentheses greater or equal than negative 2  straight x minus 2 less or equal than open parentheses 1 half close parentheses to the power of negative 2 end exponent  straight x minus 2 less or equal than open parentheses 2 to the power of negative 1 end exponent close parentheses to the power of negative 2 end exponent  straight x minus 2 less or equal than 4  straight x less or equal than 6 horizontal ellipsis.. left parenthesis 2 right parenthesis  Maka space irisan space dari space left parenthesis 1 right parenthesis space dan space left parenthesis 2 right parenthesis space adalah space 2 less than straight x less or equal than 6

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