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Himpunan penyelesaian : x 2 − 2 ∣ x ∣ ≤ 8 adalah... .

Himpunan penyelesaian :  adalah... .

  1. {display style open x close vertical bar space minus 4 space less or equal than space straight x space less or equal than space 2 }

  2. {display style open x close vertical bar space space minus 2 less or equal than x less or equal than space 4}

  3. {display style open x close vertical bar display style negative 4 less or equal than x display style less or equal than 4}

  4. open curly brackets right enclose x space x less or equal than negative 4 space a t a u space x greater or equal than 4 close curly brackets  

  5. {display style open x close vertical bar space space minus 2 less or equal than x less or equal than space 2}

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R. Febrianti

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

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Pembahasan

x 2 - 2 8 x 2 -8 2 2 x 2 -8 2x - x 2 +8 atau 2x x 2 -8 x 2 +2x-8 0 x 2 -2x-8 0 (x+4)(x-2) 0 (x-4)(x+2) 0 -4 x 2 -2 4

x2 - 2display style open vertical bar x close vertical bar less or equal than 8 

x2 -8display style less or equal than 2display style open vertical bar x close vertical bar 

2display style open vertical bar x close vertical bar greater or equal than x2 -8 

 

2x display style less or equal than - x2 +8            atau        2x display style greater or equal than x2 -8 

x2+2x-8 display style less or equal than 0                           x2 -2x-8 display style less or equal than 0 

(x+4)(x-2) display style less or equal than 0                       (x-4)(x+2)display style space less or equal than 0 

-4display style space less or equal than spacexdisplay style space less or equal than space2                                  -2display style less or equal than x less or equal than 4 

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Tentukan himpunan penyelesaian dari persamaan dan pertidaksamaan nilai mutlak berikut. e. ∣ 2 x + 1 ∣ ≥ x − 1

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