Q: What is the inverse of the statement below X?

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x=y is the identity. It is its own inverse. So the inverse is y=x.

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.

Related questions

x=y is the identity. It is its own inverse. So the inverse is y=x.

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

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.

Answer this question… Which term best describes a proof in which you assume the opposite of what you want to prove?

f and g are both bijective mappings.

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.

y -> x

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)