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Pertanyaan

Nilai x yang memenuhi persamaan ∣ x − 3 ∣ + ∣ 2 x − 8 ∣ = 5 adalah...

Nilai x yang memenuhi persamaan  adalah...

  1. open curly brackets 2 space d a n space 16 over 3 close curly brackets

  2. open curly brackets 2 close curly brackets

  3. open curly brackets 16 over 3 close curly brackets

  4. open curly brackets 0 close curly brackets

  5. open curly brackets 2 comma space 0 comma d a n space 16 over 3 close curly brackets

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

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Pembahasan

D e n g a n space m e n g g u n a k a n space d e f i n i s i space n i l a i m u t l a k comma space m a k a space d i p e r o l e h colon open vertical bar x minus 3 close vertical bar equals open curly brackets table attributes columnalign left end attributes row cell x minus 3 comma space j i k a space x greater or equal than 3 end cell row cell negative x plus 3 comma space j i k a space x less than 3 end cell end table close d a n space open vertical bar 2 x minus 8 close vertical bar equals table attributes columnalign left end attributes row cell 2 x minus 8 comma space j i k a space x greater or equal than 4 end cell row cell negative 2 x plus 8 comma space j i k a space x less than 4 end cell end table s e h i n g g a colon  1. space U n t u k space x less than 3 minus x plus 3 minus 2 x plus 8 equals 5 minus x minus 2 x equals 5 minus 3 minus 8 minus 3 x equals negative 6 x equals 2 M e m e n u h i comma space k a r e n a space x equals 2 space b e r a d a space p a d a d o m a i n space x less than 3  2. space U n t u k space 3 less or equal than x less than 4 x minus 3 minus 2 x plus 8 equals 5 x minus 2 x equals 5 plus 3 minus 8 minus x equals 0 x equals 0 T i d a k space m e m e n u h i comma space k a r e n a space x equals 0 space t i d a k b e r a d a space p a d a space d o m a i n space 3 less or equal than x less than 4  3. space U n t u k space x greater or equal than 4 x minus 3 plus 2 x minus 8 equals 5 x plus 2 x equals 5 plus 3 plus 8 3 x equals 16 x equals 16 over 3 identical to 5 comma 3 M e m e n u h i comma space k a r e n a space x equals 16 over 3 space b e r a d a space p a d a d o m a i n space x greater or equal than 4 J a d i comma space h i m p u n a n space p e n y e l e s a i a n n y a space a d a l a h colon open curly brackets 2 space d a n space 16 over 3 close curly brackets

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