Question

Bantu jawab 36,37 dengan cara

Answer 1

Verified answer

Mapel : Matematika
Kelas : X SMA
Bab : Pertidaksamaan Pecahan

Pembahasan :
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Answer 2

37) (x - 3)/(x - 2) < (x - 1)/(x - 4)
(x - 3)/(x - 2) - (x - 1)/(x - 4) < 0
[(x - 3)(x - 4) - (x - 1)(x - 2)] / (x - 2)(x - 4) < 0
[x^2 - 7x + 12 - (x^2 - 3x + 2)] / (x - 2)(x - 4) < 0
(10 - 4x) / (x - 2)(x - 4) < 0
x = 5/2 atau x = 2 atau x = 4
Garis bilangan
+++ (2) --- (5/2) +++ (4) ----
2 < x < 5/2 atau x > 4
2 < x < 2 1/2 atau x > 4

38) x + 2/x > 3
x + 2/x - 3 > 0
(x^2 + 2 - 3x)/x > 0
(x^2 - 3x + 2)/x > 0
(x - 1)(x - 2)/x > 0
x = 1 atau x = 2 atau x = 0
Garis bilangan
--- (0) +++ (1) --- (2) ++++
0 < x < 1 atau x > 2