Question 26326
For integers a and b show that 
a|b also equals -a|b and a|-b and -a|-b
A|B
HENCE B=M*A WHERE M IS AN INTEGER.
T.P.T.
A|-B...SAY...
WE HAVE FROM B=M*A
-B=-M*A...WHERE -M IS ALSO AN INTEGER
HENCE A|-B....NOTE THE DEFINITION OF PERFECT DIVISION.IT SAYS THAT M HAS TO BE AN INTEGER ONLY.POSITIVE AND NEGATIVE NUMBERS ARE BOTH INTEGERS.SO IT DOES NOT MAKE ANY DIFFERENCE IF M IS PLUS OR MINUS.