tentukan nilai mutlak pertidaksamaab 2< |2x-4| < 5
Matematika
meimei44
Pertanyaan
tentukan nilai mutlak pertidaksamaab 2< |2x-4| < 5
1 Jawaban
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1. Jawaban Anonyme
jawab
2 < |2x -4| < 5
(i) 2 < |2x - 4|
|2x - 4| > 2
2x - 4 > 2
2x > 6
x > 3
4-2x > 2
-2x > - 2
x < 1
(ii) |2x - 4| < 5
- 5 < 2x - 4 < 5
-5 + 4 < 2x< 5 + 4
-1 < 2x < 9
-1/2 < x < 9/2
HP (i) n(ii) → x> 3 , x < 1, -1/2 < x < 9/2
HP = -1/2 < x < 1 atau 3 < x< 9/2