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1- it is not raining and it is not snowing.
Negation:
It is raining or it is snowing.
[Notice that the negation of an "and" statement is the negations of the parts
with an "or" between them, and vice versa, a rule which is known as
DeMorgan's law.
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2- x is greater than y .
Negation:
x is not greater than y.
The negation can also be worded as
x is less than or equal to y.
[Be sure not to leave out "or equal to".]
Edwin