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Step-by-step explanation:

The negation of a statement is almost like the opposite, but it needs to cover all cases that the statement does not.

1) x is not equal to 300.

This statement is true for all x except 300 while our original statement is true for all x except 100. These two have overlaps between what values of x could be, meaning that it is not the negation.

2) x is equal to 100.

This statement is true only for the case x equals 100 while our original statement is true for all the cases where x is not 100. These two do not overlap and cover all numbers. This means that it is the negation.

3) It is not the case that x is equal to 400.

This statement is true for all x except 400 while our original statement is true for all x except 100. These two have overlaps between what values of x could be, meaning that it is not the negation.

4) x is equal to 300.

This statement is true only for the case x equals 300 while our original statement is true for all the cases where x is not 100. This two cases have overlaps(300), meaning it is not the negation.