Tentukan himpunan dari persamaan mutlak linear satu variabel

Bab Nilai Mutlak
Matematika SMA Kelas X

3] | (x + 2) / (x - 2) | = 5
       
      (x + 2) / (x - 2) = 5
      x + 2 = 5 (x - 2)
      x + 2 = 5x - 10
      5x - x = 2 + 10
      4x = 12
       x = 3

      (x + 2) / (x - 2) = - 5
      x + 2 = - 5 (x - 2)
      x + 2 = - 5x + 10
      x + 5x = 10 - 2
      6x = 8
      x = 8/6
      x = 4/3
   
      HP = { 3, 4/3 }

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

     HP = { 1, 5/3 }