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Describe the relationship between a conditional, its converse, its inverse, and its contrapositive.

User Infotechie
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Answer:

Explanation:

CONDITIONAL:

The conditional of a statement q by another statement p is a statement that shows the dependence of q on p. If statement p happens, then q happens too. This statement is denoted by p --> q. The statement is only false when p is true and q is false.

CONVERSE:

The converse of a statement is just what it sounds like - the reverse.

If we have a conditional statement of the form:

p-->q, then the converse is the reverse, which is is q-->p.

INVERSE:

The inverse of a statement is simply the opposite of such statement.

Having a conditional statement of the form: p --> q, the inverse is written as: ~p --> ~q, where ~p is read as "not p,

or negation p".

CONTRAPOSITIVE:

The converse of the inverse of a statement - is the contrapositive of such statement. The contrapositive of a conditional statement p --> q

is ~q --> ~p".

User Celticminstrel
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