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Given two propositions, p and q, start out with p implies q. For example if a number is even it is a multiple of 2. So we are saying even implies multiple of 2.
Now the contrapositive is not p implies not q so if a number is not even it is not a multiple of 2. Or if not p then not q.
The contrapositive of the contrapositive would negate a negation so that would make it positive.
If not (not p) then not(not q) or in other words, you are back where you started, p implies q.
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What is contrapositive in math?
A contrapositive means that if a statement is true, than the characteristics also pertains to the other variable as well.
What is converse inverse and contrapositive?
if the statement is : if p then q converse: if q then p inverse: if not p then not q contrapositive: if not q then not
When you change the truth value of a given conditional statement?
by switching the truth values of the hypothesis and conclusion, it is called the contrapositive of the original statement. The contrapositive of a true conditional statement will also be true, while the contrapositive of a false conditional statement will also be false.
What is the contrapositive of the statement if it is a square then it is a rectangle?
If it is NOT a rectangle, then it is NOT a square.
The statement formed when you negate the hypothesis and conclusion of a conditional statement?
Contrapositive
