| a | c | |||
Udowodnij ze nierówność | ≤ | jest równoważna każdemu z nastepujących warunków | ||
| b | d |
| a+b | c+d | |||
a) | ≤ | |||
| b | d |
| a+bk | c+dk | |||
b) | ≤ | i k∊ℛ | ||
| b | d |
| a | a+c | c | ||||
c) | ≤ | ≤ | ||||
| b | b+d | d |
| a | b | c | d | |||||
a) | + | ≤ | + | |||||
| b | b | d | d |
| a | c | ||
+1≤ | +1 | ||
| b | d |
| a | c | ||
≤ | |||
| b | d |
| a | bk | c | dk | |||||
b) | + | ≤ | + | |||||
| b | b | d | d |
| a | c | ||
+k≤ | +k | ||
| b | d |
| a | c | ||
≤ | |||
| b | d |