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Himpunan penyelesaian pertidaksamaan 2 lo g ( x − 2 ) ≤ lo g ( 2 x − 1 ) adalah ....

Himpunan penyelesaian pertidaksamaan adalah ....

  1. { x | negative 1 less or equal than space x space less or equal than space 5 }

  2. { x | negative 2 space less or equal than x less or equal than 5 }

  3. { x | 2 space less than space x space less or equal than 5 space a t a u space x greater or equal than 5 }

  4. { x | x greater or equal than 5 }

  5. { x | 2 space less or equal than space x space less or equal than space 5 over 2 space a t a u space 3 less or equal than x less or equal than 5 }

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Pembahasan

2 space log left parenthesis x minus space 2 right parenthesis space less or equal than space log space left parenthesis 2 x space minus space 1 right parenthesis log left parenthesis x minus space 2 right parenthesis squared space less or equal than space log space left parenthesis 2 x space minus space 1 right parenthesis left parenthesis x minus space 2 right parenthesis squared space less or equal than space left parenthesis 2 x space minus space 1 right parenthesis x squared space minus space 4 x space plus space 4 less or equal than space 2 x space minus 1 x squared space minus 6 x space plus space 5 space less or equal than space 0 left parenthesis x minus 5 right parenthesis left parenthesis x minus 1 right parenthesis space 0 S y a r a t space n u m e r u s colon space x space minus space 2 space greater than space 0 space d a n space 2 x space minus 1 space greater than space 0 space X greater than 2 space space space space space space space space space space space space space space space space space space space space X greater than 1 half M a k a space h i m p u n a n space p e n y e l e s a i n n y a space a d a l a h open curly brackets x vertical line minus 2 less than x less or equal than 5 close curly brackets

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