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Pertanyaan

Diketahui pertidaksamaan x 2 − ∣ x ∣ ≤ 12 . Himpunan penyelesaian pertidaksamaan tersebut adalah …

Diketahui pertidaksamaan  . Himpunan penyelesaian pertidaksamaan tersebut adalah …

  1. open curly brackets negative 4 less or equal than x less than 0 close curly brackets

  2. open curly brackets 0 less or equal than x less than 4 close curly brackets

  3. open curly brackets negative 4 less or equal than x less than 3 close curly brackets

  4. open curly brackets negative 3 less or equal than x less than 4 close curly brackets

  5. open curly brackets negative 4 less or equal than x less or equal than 4 close curly brackets

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

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Pembahasan

x squared minus open vertical bar x close vertical bar less or equal than 12 x squared minus open vertical bar x close vertical bar minus 12 less or equal than 0  K a r e n a space t e r d a p a t space n i l a i space m u t l a k comma space m a k a space a k a n space a d a space d u a space k e m u n g k i n a n comma space y a i t u colon  1. space J i k a space x less than 0 comma space m a k a space open vertical bar x close vertical bar equals negative x x squared minus open vertical bar x close vertical bar minus 12 less or equal than 0 x squared minus open parentheses negative x close parentheses minus 12 less or equal than 0 x squared plus x minus 12 less or equal than 0 open parentheses x plus 4 close parentheses open parentheses x minus 3 close parentheses less or equal than 0 x subscript 1 equals negative 4 space a t a u space x subscript 2 equals 3 U j i space d a n space g a m b a r space g a r i s space b i l a n g a n n y a

M a k a space i r i s a n space a n t a r a space x less than 0 space d a n minus 4 less or equal than x less or equal than 3

S e h i n g g a space h i m p u n a n space p e n y e l e s a i a n space u n t u k space k e m u n g k i n a n space I equals open curly brackets negative 4 less or equal than x less than 0 close curly brackets  2. space J i k a space x greater or equal than 0 comma space m a k a space open vertical bar x close vertical bar equals x x squared minus x minus 12 less or equal than 0 open parentheses x minus 4 close parentheses open parentheses x plus 3 close parentheses less or equal than 0 x subscript 1 equals 4 space a t a u space x subscript 2 equals negative 3 U j i space d a n space g a m b a r space g a r i s space b i l a n g a n n y a

M a k a space i r i s a n space a n t a r a space x greater or equal than 0 space d a n space minus 3 less or equal than x less or equal than 4 comma y a i t u colon

S e h i n g g a space h i m p u n a n space p e n y e l e s a i a n space u n t u k k e m u n g k i n a n space I I comma space y a i t u space equals open curly brackets 0 less or equal than x less or equal than 4 close curly brackets  J i k a space d i g a b u n g k a n space a n t a r a space k e m u n g k i n a n space I d a n space k e m u n g k i n a n space I I comma space m a k a colon K e m u n g k i n a n space I equals open curly brackets negative 4 less or equal than x less than 0 close curly brackets K e m u n g k i n a n space I I equals open curly brackets 0 less or equal than x less or equal than 4 close curly brackets 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 a d a l a h colon space open curly brackets negative 4 less or equal than x less than 0 space a t a u space 0 less than x less or equal than 4 close curly brackets

 

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