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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.
What is the contrapositive of all journalists are pessimists?
The contrapositive of the statement "All journalists are pessimists" is "If someone is not a pessimist, then they are not a journalist." This reformulation maintains the same truth value as the original statement, meaning that if the original statement is true, the contrapositive is also true.
If a conditional statement is true them its contrapositive?
It may or may not be 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 then its contrapositive?
If a conditional statement is true then its contra-positive is also 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 contrapositive in math?
A contrapositive means that if a statement is true, than the characteristics also pertains to the other variable as well.
Based on the true statement If you are celebrating Easter then it is spring what kind of statement is If it is not spring then you are not celebrating Easter?
contrapositive
What is the contrapositive of the statement if it is raining then the football team will win?
The contrapositive of the statement "If it is raining, then the football team will win" is "If the football team does not win, then it is not raining." This reformulation maintains the same truth value as the original statement, meaning if one is true, the other is also true.
What does the law of contrapositive state?
The law of contrapositive states that a conditional statement of the form "If P, then Q" (P → Q) is logically equivalent to its contrapositive, "If not Q, then not P" (¬Q → ¬P). This means that if the original statement is true, the contrapositive must also be true, and vice versa. This principle is widely used in mathematical proofs and logical reasoning to demonstrate the validity of arguments.
