pertidajsamaan |2x+4| < | x-5 |

(2x+4)²<(x-5)²
4x²+16x+16<x²-10x+25
4x²-x²+16x+10x+16-25<0
3x²+26x-9<0
(3x-1)(x+9)<0
maka HP={-9<x<1/3}

|2x+4|< |x-5|
√(2x+4)²<√(x-5)²
(√(2x+4)²)²<(√(x-5)²)²
(2x+4)²<(x-5)²
(2x+4)²-(x-5)²<0
(2x+4+x-5)(2x+4-(x-5)<0
(2x+4+x-5)(2x+4-x+5<0
(3x-1)(x+9)
3x-1<0
3x<1
x<1/3
atau
x+9<0
x<-9
jadi HP{-9,1/3}