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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.
If the conditional statement is true what must also be true?
not b not a its contrapositive
What is logically equivalent to a conditional statement?
A Contrapositive statement is logically equivalent.
What is a true statement that combines a true conditional statement and is its true converse?
always true
What is the converse of the contrapositive of a statement?
Look at the statement If 9 is an odd number, then 9 is divisible by 2. The first part is true and second part is false so logically the statement is false. The contrapositive is: If 9 is not divisible by 2, then 9 is not an odd number. The first part is true, the second part is false so the statement is true. Now the converse of the contrapositive If 9 is not an odd number, then 9 is not divisible by two. The first part is false and the second part is true so it is false. The original statement is if p then q,the contrapositive is if not q then not p and the converse of that is if not p then not q
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.
If a conditional statement is true then its contrapositive?
If a conditional statement is true then its contra-positive is also 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 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
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.
What is logically equivalent to a conditional statement?
A Contrapositive statement is logically equivalent.
The statement formed when you negate the hypothesis and conclusion of a conditional statement?
Contrapositive
A biconditional statement combines a conditional statement with its contrapositive. T or F?
False
Choose the statement that are always logically equivalent?
a conditional and its contrapositive
