tentukan himpunan dari [tex] \frac{4x - 10}{x - 2} < 2 [/tex] tolongg yaa
Matematika
vinyangreni241
Pertanyaan
tentukan himpunan dari
[tex] \frac{4x - 10}{x - 2} < 2 [/tex]
tolongg yaa
[tex] \frac{4x - 10}{x - 2} < 2 [/tex]
tolongg yaa
1 Jawaban
-
1. Jawaban nabilap0
(4x - 10)/(x - 2) < 2
4x - 10 < 2(x - 2)
4x - 10 < 2x - 4
4x - 10 < 2x - 4
4x - 2x < -4 + 10
2x < 6
x < 3
4x - 10 > -(2x - 4)
4x - 10 > -2x + 4
4x + 2x > 4 + 10
6x > 14
x > 14/6
x > 7/3
Hp = {x > 7/3 atau x < 3}