| x | -4 | -3 | -2 | -1 | 0 | 1 | 2 | 3 | 4 |
| |x+1| | 3 | 2 | 1 | 0 | 1 | 2 | 3 | 4 | 5 |
| |x-2| | 6 | 5 | 4 | 3 | 2 | 1 | 0 | 1 | 2 |
| |x+1|+|x-2| | 9 | 7 | 5 | 3 | 3 | 3 | 3 | 5 | 7 |
| 2x-1 | -9 | -7 | -5 | -3 | -1 | 1 | 3 | 5 | 7 |
| -2x+1 | 9 | 7 | 5 | 3 | 1 | -1 | -3 | -5 | -7 |
| |x+1| | |x-2| | 範囲 | ||
| (x+1) | (x-2) | ① かつ ③ | すなわち | x ≧ 2 |
| (x+1) | -(x-2) | ① かつ ④ | すなわち | -1 ≦ x < 2 |
| -(x+1) | (x-2) | ② かつ ③ | この場合はない | |
| -(x+1) | -(x-2) | ② かつ ④ | すなわち | x < -1 |
例
式の中に |x+2|, |2x-1| の２つの絶対値記号がある
| 場合 | |x+2| | |2x-1| | |
| ① | x ≧ \(\dfrac{1}{2}\) | (x+2) | (2x-1) |
| ② | -2 ≦ x < \(\dfrac{1}{2}\) | (x+2) | -(2x-1) |
| ③ | x < -2 | -(x+2) | -(2x-1) |