Menyelesaikan Persamaan Nilai Mutlak Linear Satu Variabel sifa |x| =akar x*

Tentukan himpunan penyelesaianya!
1. | x +  | = 2
*  x = 2 - 5         ** | x + 5 | = -2
    x = -3                     x = -2 - 5 = -7
Hp { -7,-3 }
2. | 3 - x | = 5     
*    3 - x = 5        ** 3 - x = (-5)
     -x = 5 - 3            -x = (-5) - 3
       x = 2                  -× = -8
                     Hp { -8,2}
3. | 2x + 3 | =3 
*     2x + 3 = 3        **  2x + 3 = -3
          2x = 0                   2x = -3 - 3
            x = 0/2                2x = -6
              x  = 0                 x = -6/2 =-3
                       Hp { -3,0 }
4. | 3x - 1 | = 4         ** 3x = -4 + 1
  *    3x = 4 + 1               3x = -3
         x = 5/3                     x = -3/3
         x = 1.2/3                  x= -1
                        Hp { -1,1}
5.  | 7 - 5x | = 4
*     -5x = 1 - 7        **  -5x ( -1 )
       -5x = -6                  -5x = -8
           x = -6/-5                 x = -8/-5
           x = 1.1/5                  x = 1.3/5
                        Hp { 1 1/5, 1 3/5 }
6.  | x + 1 | = | x - 2|
    (| x + 1 |)2 = (| x - 2|)2
    x2 + 2x + 1(kuadrat 2)=x2 -2x, 2+2
        6x = 3
         x = 3/6
7. | 2x + 3| = | x + 3|
   (| 2x + 3|)2 = (| x + 3|)2
       2x-x = 3 - 3
             x = 0
     | 2x + 3| = -| x + 3|
       2x + 3  =  x -3
              3x = -6/3
8. | 3x + 5| = | 3 + 2x|
      3x - 5=      3 - 2x
      3x + 2x = 3x + 5
          5x = 8
            x = 8/5 = 1.3/5
       3x - 5 =  (-3) - (-2)
       3x + (-2x) = (-3) + 5
         x (-2 )
  Hp { -2, 1/3}
9. | 7- 3x | = | 5 - 2x |
      7 -3x = 5 - 2x
      -3 + 2x = 5 - 7
      -5x = -2
           x = 2
      7 -3x = (-5)5 - (-2x)
         -3 + (-2x) = -5 -7
         -5 = -12
          5× = 12/5 = 2.2/5
   Hp { -2/5, 2 2/5)
10. | 4× + 7| = |2× - 1 |
        4×+ 7 = 2× -1
        4× - 2× = -1 -7
                2× = -8
                   × = -8/2 = -4
        4× + 7 = (-2×) - (-1)
        4x + 2 = 1 - 7
          6× =-6
            x = -6/6 = 1
Selamat mengerjakan tugasnya semoga dapat membantu ya.