Soal:

1. Himpunan penyelesaian dari |2x+2| = 4x−8 adalah . . . .?

Jawab:

⟩⟩ |2x+2| = 4x–8

⟩⟩ |2x+2| – 4x = –8

— Kasus Pertama

⟩⟩ 2x + 2 – 4x = –8 , x ≥ -1

⟩⟩ 2x – 4x + 2 = –8

⟩⟩ –2x + 2 = –8

⟩⟩ –2x = –8 – 2

⟩⟩ –2x = –10

⟩⟩ 2x = 10

⟩⟩ x = 10/2

⟩⟩ x = 5 ✓

— Kasus Kedua

⟩⟩ -(2x + 2) – 4x = –8

⟩⟩ -2x - 2 – 4x = –8

⟩⟩ -2x – 4x - 2 = –8

⟩⟩ -6x - 2 = –8

⟩⟩ -6x = –8 + 2

⟩⟩ -6x = -6

⟩⟩ 6x = 6

⟩⟩ x = 6/6

⟩⟩ x = 1 , x < -1

HP = {5}

Kesimpulan:

∴ Jadi, himpunan penyelesaian dari |2x+2| = 4x−8 adalah 5.