What is the inverse of the following statement?
If it is night, the street lights will come on.
If it is not night, the street lights won't come on.
http://www.regentsprep.org/Regents/math/geometry/GP2/Linvers.htm
To find the inverse of a statement, you need to negate both the hypothesis (the "if" part) and the conclusion (the "then" part) of the original statement.
The original statement is: "If it is night, the street lights will come on."
To find the inverse, you would negate both parts of the statement. The negation of "If it is night" would be "If it is not night", and the negation of "the street lights will come on" would be "the street lights will not come on."
Therefore, the inverse of the original statement is: "If it is not night, the street lights will not come on."