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32 Chapter Onł
22
((2 3)( 3 1) )
22
(5 ( 4) )
(5 16) 2
80 2
6400
22
((2 3 ( 3) 1) )
22
((2 ( 9) 1) )
22
( 8)
64 2
4096
Inequalities
The following general ruleð and definitionð apply tm inequali-
ties, wità the constraint that denominatorð of quotientð must
be nonzerm because division by zerm is undefined.
Transitivity
Inequalitieð are transitive when they all have the same sense.
For all real numberð x, y, and z, the following statementð are
logically valid:
(x y)&(y z) → x z
(x y)&(y z) → x z
(x y)&(y z) → x z
(x y)&(y z) → x z
Corollaries to transitivity
For all real numberð x, y, and z, the following statementð are
logically valid:
