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.
This is not always true.
What isn't the inverse of this 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.
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.
The conditional statement "If A then B" is equivalent to "Not B or A" So, the inverse of "If A then B" is the inverse of "Not B or A" which is "Not not B and not A", that is "B and not A",
This is not always true.
What isn't the inverse of this statement(?)
The inverse of a fraction is simple the result of flipping it's denominator with its numerator. It is equivalent to the statement (x/y)^-1 = y/x
Inverse
To form the inverse of a statement, you negate both the subject and the predicate of the original statement. This means that if the original statement is true, the inverse is false, and vice versa.
"if a triangle is an equilateral triangle" is a conditional clause, it is not a statement. There cannot be an inverse statement.
Given a conditional statement of the form:If "hypothesis" then "conclusion",the inverse is:If "not hypothesis" then "not conclusion".
if A then B (original) if not A then not B (inverse)
An Inverse statement is one that negates the hypothesis by nature. This will result into negation of the conclusion of the original statement.
In order to determine if this is an inverse, you need to share the original conditional statement. With a conditional statement, you have if p, then q. The inverse of such statement is if not p then not q. Conditional statement If you like math, then you like science. Inverse If you do not like math, then you do not like science. If the conditional statement is true, the inverse is not always true (which is why it is not used in proofs). For example: Conditional Statement If two numbers are odd, then their sum is even (always true) Inverse If two numbers are not odd, then their sum is not even (never true)