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What also is true if a conditional statement is true A its contrapositive B its converse C its inverse D none of these?
A conditional statement is true if, and only if, its contrapositive is true.
Is a contrapositive statement true?
If a conditional statement is true, then so is its contrapositive. (And if its contrapositive is not true, then the statement is not true).
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.
If a conditional statement is true them its contrapositive?
It may or may not be true.
If the conditional statement is true what must also be true?
not b not a its contrapositive
is this statement true or falseA biconditional statement combines a conditional statement with its contrapositive.?
false
is this statement true or falseThe conditional and contrapositive have the same truth value.?
true
What is formed by negating the hypothesis and conclusion of a conditional?
Negating the hypothesis and conclusion of a conditional statement forms the contrapositive of that statement. If the original conditional is "If P, then Q" (symbolically, P → Q), the contrapositive is "If not Q, then not P" (¬Q → ¬P). Importantly, a conditional statement and its contrapositive are logically equivalent, meaning they are either both true or both false.
Inverse Converse contrapositive?
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.
The statement formed when you negate the hypothesis and conclusion of a conditional statement?
Contrapositive
What is logically equivalent to a conditional statement?
A Contrapositive statement is logically equivalent.
A biconditional statement combines a conditional statement with its contrapositive. T or F?
False
