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Himpunan penyelesaian dari ∣3 x − 2∣ ≥ ∣2 x + 7∣ adalah …

Himpunan penyelesaian dari  adalah …

  1. left curly bracket x vertical line minus 1 less or equal than x less or equal than 9 right curly bracket

  2. left curly bracket x vertical line x less than negative 9 space atau space x greater than 1 right curly bracket

  3. left curly bracket x vertical line x less than negative 1 space atau space x greater than 9 right curly bracket

  4. left curly bracket x vertical line x less or equal than negative 1 space atau space x greater or equal than 9 right curly bracket

  5. left curly bracket x vertical line x less or equal than negative 9 space atau space x greater or equal than 1 right curly bracket

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Pembahasan

vertical line 3 x minus 2 vertical line greater or equal than vertical line 2 x plus 7 vertical line Untuk space x less than 0 comma space yaitu colon 3 x minus 2 less or equal than negative left parenthesis 2 x plus 7 right parenthesis space 3 x minus 2 less or equal than negative 2 x minus 7 3 x plus 2 x less or equal than negative 7 plus 2 space 5 x less or equal than negative 5 x less or equal than negative 1  Sedangkan space untuk space x greater than 0 comma space yaitu colon 3 x minus 2 greater or equal than 2 x plus 7 3 x minus 2 x greater or equal than 7 plus 2 x greater or equal than 9  Jadi comma space himpunan space penyelesaiannya adalah colon space left curly bracket x vertical line x less or equal than negative 1 space atau space x greater or equal than 9 right curly bracket. 

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