Nilai x yang memenuhi | 3x +1 | > | x-5 | adalah

| 3x +1 | > | x-5 | = 3x +1 > x + 5
= 3x-x>5-1
= 2x > 4
= x > 4/2
= x > 2

|3x + 1| > |x - 5|
(3x + 1)^2 > (x - 5)^2 > 0
(3x + 1 + x - 5) (3x + 1 - x + 5)
(4x - 4) (2x + 6)
(-4x + 4) (-2x - 6)
-4x + 4 < 0
-4x < -4
x < -4/-4
x < 1

-2x - 6 < 0
-2x < 6
x < 6/-2
x < -3

x = { 1, -3 }

Maaf kalau salah