false
true
No, the inverse is not the negation of the converse. Actually, that is contrapositive you are referring to. The inverse is the negation of the conditional statement. For instance:P → Q~P → ~Q where ~ is the negation symbol of the sentence symbols.
An Inverse statement is one that negates the hypothesis by nature. This will result into negation of the conclusion of the original statement.
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
The inverse of a conditional statement switches the hypothesis and conclusion. The converse of a conditional statement switches the hypothesis and conclusion. The contrapositive of a conditional statement switches and negates the hypothesis and conclusion.
This is not always true.
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if the food is from burger king, then you can have it your way.
The converse of an inverse is the contrapositive, which is logically equivalent to the original conditional.
A conditional statement is true if, and only if, its contrapositive is true.
In terms of propositional calculus (logic), the converse of "if A then B" is "if B then A". The inverse is "if not A then not B". The converse and inverse are contra-positives of each other, and therefore logically equivalent. Answer 1 ======= In terms of optical lensing, converse lenses will be thicker in the center where inverse lenses will be thinner in the center. Converse bends outward. Inverse bends inward.
Proof!