tolong dijawab. himpunan penyelesaian dr soal pertidaksamaan rasional
Matematika
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Pertanyaan
tolong dijawab. himpunan penyelesaian dr soal pertidaksamaan rasional
1 Jawaban
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1. Jawaban ahreumlim
1. (3x - 6) / x ≤ 2
(3x - 6) / x - 2x/x ≤ 0
(3x - 2x - 6) / x ≤ 0
(x - 6)/x ≤ 0
+ + + + + - - - - - - - - - + + + + +
_______0___________6_________
HP : {x| 0 < x ≤ 6, x ∈ R}
2. (x + 1)/(x² - x - 6) > 0
(x + 1) / (x - 3)(x + 2) > 0
- - - - - - - + + + + + - - - - - - - - + + + + + +
_______-2_________(-1)__________3_________
HP : {x| -2 < x ≤ 1 atau x > 3, x ∈ R}
3. (x² - 3x - 10) / (x + 4) < 0
(x - 5)(x + 2) / (x + 4) < 0
- - - - - - - - + + + + + + - - - - - - - - + + + + + +
________-4__________(-2)__________(5)_________
HP : {x| x < -4 atau -2 ≤ x ≤ 5, x ∈ R}