Antara dua bilangan a dan b terdapat hubungan :
a > b ; a = b atau a < b |
a = b ® a - b = 0
a < b ® a - b < 0
prinsip: nilai bilangan harus jelas positif, nol atau negatif
atau
c-a-b>0
| a < b ® | { | a + c < b + c |
| a - c < b - c |
| a < b | } | ® | { | ac < bc |
| c > 0 | a/c < b/c |
Tanda tetap
| a < b | } | ® | { | ad > bd | TANDA BERUBAH |
| d < 0 | a/d > b/d |
| a > 0 ; b > 0 | } | ® | a² < b² TANDA TETAP |
a < b |
| a < 0 ; b < 0 | } | ® | a² > b² TANDA BERUBAH |
a < b |
| a < b ® | { | a³ < b³ | ® TANDA TETAP |
| a5 < b5 | |||
| a7 < b7 |
| a > 0 ; b > 0 | } | ® | 1/a > 1/b TANDA BERUBAH |
a < b |
| a < 0 ; b < 0 | } | ® | 1/a > 1/b TANDA BERUBAH |
a < b |
Sumber:
http://bebas.vlsm.org/v12/sponsor/Sponsor-Pendamping/Praweda/Matematika/0367%20Mat%201-3a.htm
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