if you could please explain me the 6th rule of inequtions.
 

Asked by cbafna66 | 26th Jul, 2014, 04:58: PM

Expert Answer:

R u l e space 6 : thin space I f space b o t h space s i d e s space o f space a n space i n e q u a t i o n space a r e space p o s t i t i v e space o r space b o t h space a r e space n e g a t i v e comma space t h e n space o n space t a k i n g space t h e i r space r e c i p r o c a l s comma space t h e space s i g n space o f space i n e q u a l i t y space r e v e r s e s i. e comma space i f space space x space a n d space y space b o t h space a r e space e i t h e r space p o s t i v e space o r space b o t h space a r e space n e g a t i v e comma space t h e n  open parentheses i close parentheses space x greater than y space left right double arrow 1 over x less than 1 over y open parentheses i i close parentheses x less or equal than y left right double arrow 1 over x greater or equal than 1 over y open parentheses i i i close parentheses x greater or equal than y left right double arrow 1 over x less or equal than 1 over y space s o space o n....  w e space k n o w space t h a t space i n space p o s i t i v e space n u m b e r s comma space a s space t h e space n u m b e r space i n c r e a s e s space i t s space r e c i p r o c a l space v a l u e space d e c r e a s e s. space i f space x equals 5 comma space y equals 10 space t h e n space x less than y space left right double arrow 1 fifth greater than 1 over 10 s a m e space r u l e space a p p l i e s space i n space n e g a t i v e space n u m b e r s space a s space w e l l. space i f space x equals minus 4 comma space y equals minus 10 space t h e n space x greater than y left right double arrow fraction numerator 1 over denominator minus 4 end fraction less than fraction numerator 1 over denominator minus 10 end fraction S a m e space r u l e space c a n space b e space r e p l i c a t e d space t o space a l l space c a s e s

Answered by Dharma Teja | 28th Jul, 2014, 10:25: AM