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Himpunan penyelesaikan dari pertidaksamaan 2 1 ​ lo g ( x − 2 ) ≥ − 2 adalah...

Himpunan penyelesaikan dari pertidaksamaan  adalah...

  1. open curly brackets x left enclose x space 6 end enclose close curly brackets

  2. open curly brackets x left enclose x greater or equal than space 6 end enclose close curly brackets

  3. open curly brackets x left enclose 2 less or equal than x less or equal than space 6 end enclose close curly brackets

  4. open curly brackets x left enclose 2 less than x less or equal than space 6 end enclose close curly brackets

  5. open curly brackets x left enclose negative 1 less or equal than x less or equal than negative 1 end enclose close curly brackets

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F. Kurnia

Master Teacher

Mahasiswa/Alumni Universitas Jember

Jawaban terverifikasi

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Pembahasan

log presuperscript 1 divided by 2 end presuperscript invisible function application left parenthesis x minus 2 right parenthesis greater or equal than negative 2  log presuperscript 2 to the power of negative 1 end exponent end presuperscript invisible function application left parenthesis x minus 2 right parenthesis greater or equal than negative 2  left parenthesis negative 1 right parenthesis log presuperscript 2 invisible function application left parenthesis x minus 2 right parenthesis greater or equal than negative 2  log presuperscript 2 invisible function application left parenthesis x minus 2 right parenthesis to the power of negative 1 end exponent greater or equal than log presuperscript 2 invisible function application 2 to the power of negative 2 end exponent  log presuperscript 2 fraction numerator 1 over denominator x minus 2 end fraction greater or equal than log presuperscript 2 1 fourth  M a k a comma  fraction numerator 1 over denominator x minus 2 end fraction greater or equal than 1 fourth  fraction numerator 1 over denominator x minus 2 end fraction minus 1 fourth greater or equal than 0  fraction numerator 4 minus x plus 2 over denominator 4 x minus 4 end fraction greater or equal than 0  fraction numerator 6 minus x over denominator 4 x minus 4 end fraction greater or equal than 0

H P subscript 1 equals 1 less than x less or equal than 6  S y a r a t space n u m e r u s space p a d a space log a r i t m a comma  x minus 2 greater than 0  H P subscript 2 equals x greater than 2  H i m p u n a n space p e n y e l e s a i a n space d a r i space p e r s o a l a n space d i space a t a s space m e r u p a k a n space i r i s a n space H P subscript 1 space d e n g a n space H P subscript 2 space s e h i n g g a  H P equals H P subscript 1 intersection H P subscript 2 equals 2 less than x less or equal than 6

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