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โˆ™ 2012-11-04 23:37:40
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Q: What is a true statement that combines a true conditional statement and its true converse?
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Related questions

What is a true statement that combines a true conditional statement and is its true converse?

always true


Is this statement true or falseThe conditional is the negation of the converse.?

true


is this statement true or falseA biconditional statement combines a conditional statement with its contrapositive.?

false


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.


The converse and inverse of a conditional statement are logically equivalent?

This is not always true.


Is the converse of a true conditional statement always false?

No. Consider the statement "If I'm alive, then I'm not dead." That statement is true. The converse is "If I'm not dead, then I'm alive.", which is also true.


Examples of conditional statement or converse?

A simple example of a conditional statement is: If a function is differentiable, then it is continuous. An example of a converse is: Original Statement: If a number is even, then it is divisible by 2. Converse Statement: If a number is divisible by 2, then it is even. Keep in mind though, that the converse of a statement is not always true! For example: Original Statement: A triangle is a polygon. Converse Statement: A polygon is a triangle. (Clearly this last statement is not true, for example a square is a polygon, but it is certainly not a triangle!)


When a conditional and its converse are true you can combine them as a true what?

biconditional.


Is the converse of a true if-then statement never true?

Converses of a true if-then statement can be true sometimes. For example, you might have "If today is Friday, then tomorrow is Saturday," and "If tomorrow is Saturday, then today is Friday." Both the above conditional statement and its converse are true. However, sometimes a converse can be false, such as: "If an animal is a fish, then it can swim." and "If an animal can swim, it is a fish." The converse is not true, as some animals that can swim (such as otters) are not fish.


What is a contra positive statement?

Conditional statements are also called "if-then" statements.One example: "If it snows, then they cancel school."The converse of that statement is "If they cancel school, then it snows."The inverse of that statement is "If it does not snow, then they do not cancel school.The contrapositive combines the two: "If they do not cancel school, then it does not snow."In mathematics:Statement: If p, then q.Converse: If q, then p.Inverse: If not p, then not q.Contrapositive: If not q, then not p.If the statement is true, then the contrapositive is also logically true. If the converse is true, then the inverse is also logically true.


If a conditional statement is true then its contrapositive?

If a conditional statement is true then its contra-positive is also true.


Is the converse of a true conditional statment is always true?

yes it is


If a statement is true is it converse also true?

Not necessarily. If the statement is "All rectangles are polygons", the converse is "All polygons are rectangles." This converse is not true.


Are all conditional statements true?

A conditional statement may or may not be true.


Is this statement true or falseThe (then) part of a conditional statement is the conclusion.?

true


Is the converse of a true if-then statement always true?

No.


Is the inverse of a conditional statement is always true?

No.


Choose the true biconditional statement that can be formed from the conditional statement If a natural number n is odd then n2 is odd and its converse.?

An integer n is odd if and only if n^2 is odd.


Is it true that the converse of a biconditional statement is always true?

it is true


If a conditional statement is true them its contrapositive?

It may or may not be true.


is this statement true or falseThe inverse is the negation of the conditional.?

true


What is a Converse in geomtry?

Well first you have to read the conditional statement and find out what the hypothesis is and what the conclusion is. Next you just switch the hypothesis and conclusion and put them in an if-then statement. Example: If someone is a football player, then they are an athlete. Hypothesis: someone is a football player Conclusion: they are an athlete Converse: If someone is an athlete, then they play football. *NOTE* You are allowed to change some of the words and just because the conditional statement is true doesn't mean that the converse will be true. *Hope this helps. Sorry its kinda longer then most answers.*


Is The converse of a biconditional statement is always true?

No, not always. It depends on if the original biconditional statement is true. For example take the following biconditional statement:x = 3 if and only if x2 = 9.From this biconditional statement we can extract two conditional statements (hence why it is called a bicondional statement):The Conditional Statement: If x = 3 then x2 = 9.This statement is true. However, the second statement we can extract is called the converse.The Converse: If x2=9 then x = 3.This statement is false, because x could also equal -3. Since this is false, it makes the entire original biconditional statement false.All it takes to prove that a statement is false is one counterexample.


If the conditional statement is true what must also be true?

not b not a its contrapositive


Conditional if 2x plus 3 equals 293 then x equals 145 converse if x equals 145 then 2x plus 3 equals 293?

the converse of this conditional is true