| x2−5x+3 | |
< 1 | |
| x2−1 |
| x2−5x+3 | x2−1 | ||
− | < 0 | ||
| x2−1 | x2−1 |
| −5x+4 | |
< 0 , x ≠ 1 , x ≠ −1 | |
| (x−1)(x+1) |
| 4 | ||
x∊(−1, | )∪(1,+∞) | |
| 5 |
| x2−5x+3 | |
> −1 | |
| x2−1 |
| x2−5x+3+x2−1 | |
> 0 | |
| x2−1 |
| 2x2−5x+2 | |
> 0 , x ≠ 1,x ≠ −1 | |
| (x−1)(x+1) |
| 1 | ||
2(x− | )(x−2)(x−1)(x+1) > 0 | |
| 2 |
| 1 | ||
x∊(−∞,−1)∪( | ,1)∪(2,+∞) | |
| 2 |
| 1 | 4 | |||
część wspólna : ( | , | )∪(2,+∞) | ||
| 2 | 5 |