tentukan himpunan penyelesaian | 2x -1 | = | x + 4 |

|2x + 1| = 4

2x + 1 = 4
2x = 4 - 1
x = 3/2

2x + 1 = - 4
2x = - 4 - 1
x = -5/2

HP = { -5/2, 3/2 }

jadikn jawaban terbaik y

|2x-1| = |x+4|
|2x-1| = 2x-1 utk x>½
-2x+1 utk x<½
|x+4| = x+4 utk x>-4
-x-4 utk x<-4
definisi = (1) x<-4 (2) -4<x<½ (3) x>½
utk x<-4 » -2x+1 = -x-4
-x = -5
x = 5 (tdk trpenuhi)
utk -4<x<½ » -2x+1 = x+4
-3x = 3
x = -1 (trpenuhi)
utk x > ½ » 2x-1 = x+4
x = 5 (trpenuhi)
HP = {-1,5}