Carilah himpunan penyelesaian berikut​

Penjelasan dengan langkah-langkah:

3] 1/(x – 2) < 1/2

1/(x – 2) – 1/2 < 0

(2 – (x – 2))/(2 . (x – 2)) < 0

(2 – x + 2)/(2x – 4) < 0

(-x + 4)/(2x – 4) < 0

(x – 4)/(2x – 4) > 0

x – 4 > 0

x > 4

2x – 4 < 0

2x < 4

x < 4 : 2

x < 2

HP = { x | x < 2 atau x > 4, x ε bilangan real }

4] (x – 1)/(x + 1) > 1/3

(x – 1)/(x + 1) – 1/3 > 0

(3 (x – 1) – (x + 1))/(3 . (x + 1)) > 0

(3x – 3 – x – 1)/(3x + 3) > 0

(2x – 4)/(3x + 3) > 0

2x – 4 > 0

2x > 4

x > 4 : 2

x > 2

3x + 3 < 0

3x < -3

x < -3 : 3

x < -1

HP = { x | x < -1 atau x > 2, x ε bilangan real }

Detail Jawaban

Kelas 9

Mapel 2 – Matematika

Bab 9 – Persamaan Kuadrat

Kode Kategorisasi : 9.2.9