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What isn't the inverse of this statement(?)
It is what you get in an inference, after negating both sides. That is, if you have a statement such as: if a then b the inverse of this statement is: if not a then not b Note that the inverse is NOT equivalent to the original statement.
Inverse
An Inverse statement is one that negates the hypothesis by nature. This will result into negation of the conclusion of the original statement.
If you do not do your homework then it will not snow.If I do not do my homework, then it will not snow.
If I do not do my homework, then it will not snow.
I honestly mathematily don't really know
You have to do this assignment. We can't do it for you. You need to develop your critical thinking skills and how well you understood the lesson.
There is no inverse as such. All the statement gives is the possibility of snow IF homework is done. It says nothing about if there being snow homework has, or has not, been done; nor does it say anything about the possibility of snow if homework is not done. This is the "implies" logical operator, the truth table for which is: A B → F F T F T T T F F T T T It is equivalent to: (not A) or B.
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What isn't the inverse of this statement(?)
It is what you get in an inference, after negating both sides. That is, if you have a statement such as: if a then b the inverse of this statement is: if not a then not b Note that the inverse is NOT equivalent to the original statement.
Inverse
"if a triangle is an equilateral triangle" is a conditional clause, it is not a statement. There cannot be an inverse statement.
Conditional statements are also called "if-then" statements.One example: "If it snows, then they cancel school."The converse of that statement is "If they cancel school, then it snows."The inverse of that statement is "If it does not snow, then they do not cancel school.The contrapositive combines the two: "If they do not cancel school, then it does not snow."In mathematics:Statement: If p, then q.Converse: If q, then p.Inverse: If not p, then not q.Contrapositive: If not q, then not p.If the statement is true, then the contrapositive is also logically true. If the converse is true, then the inverse is also logically true.
Given a conditional statement of the form:If "hypothesis" then "conclusion",the inverse is:If "not hypothesis" then "not conclusion".