|3x+4|<8 beserta caranya

menggunakan analisis nilai mutlak

|3x+4| < 8
3x+4 < 8
3x < 8-4
3x < 4
x < 4/3

dan

|3x+4| > -8
3x+4 > -8
3x > -8-4
3x > -12
x > -4

|3x + 4| < 8
(3x + 4)^2 < 8^2
9x^2 + 24x + 16 < 64
9x^2 + 24x - 48 < 0
3x^2 + 8x - 16 < 0
(3x - 4)(x + 4) < 0
x = 4/3 atau x = -4
Garis bilangan
+++ (-4) --- (4/3) +++
-4 < x < 4/3

Cara lain
|3x + 4| < 8
-8 < 3x + 4 < 8 ---------------> kurangi 4
-8 - 4 < 3x + 4 - 4 < 8 - 4
-12 < 3x < 4 --------------------> bagi 3
-4 < x < 4/3