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The contrapostive

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The statement "if not p, then not q" always has the same truth value as the conditional "if p, then q." They are logically equivalent.

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Q: Which statement always has the same truth value as the conditional?
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Related questions

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.


is this statement true or falseThe conditional and contrapositive have the same truth value.?

true


Statements that always have the same truth-value are what?

conditional and contrapositive + converse and inverse


Statements that always have the same truth value are?

conditional and contrapositive + converse and inverse


What statements that always have the same-truth value?

conditional and contrapositive + converse and inverse


What can a conditional have of true or false?

Truth value


When you change the truth value of a given conditional statemt what do you get?

negation


Is the truth or falsity of a statement is the truth value?

yes, it is called the truth value


What Statements that have the same truth value?

conditional and contrapositive + converse and inverse


What Statement has the opposite truth value?

The negation of a statement


What is the essential characteristic for a statement?

A statement has a truth value


Can a conditional operator replace an if statement always?

No. An if statement does not require an elseclause and the expression(s) do not return anything to the caller, whereas the conditional operator always executes one of two expressions and always returns the value of the executed expression back to the caller. The executed expression may be yet another conditional operator, thus allowing simulation of nested ifs and if...else if... else statements.Consider the following example:int x = rand();if( x > 100 ) x = 100;We can achieve the same result with a conditional operator:int y = rand();y = y>100 ? 100 : y;However, if we were to expand this statement to an if statement we would not get the original if statement shown above:int z = rand();if( z > 100 ) z = 100;else z = z;The else clause is clearly unnecessary in this case, so the original if statement would be the statement of choice here.As a general rule, if you can make use of the return value in a conditional operator, and must return one of at least two values, then use the conditional operator. Otherwise use an if statement.