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if the statement is : if p then q

converse: if q then p

inverse: if not p then not q

contrapositive: if not q then not

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Q: What is converse inverse and contrapositive?
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What is the inverse of the contrapositive of the converse?

This would be logically equivalent to the conditional you started with.


State the converse the contrapositive and the inverse what conditional statement If the television is on you will not do homework?

none


Is The inverse is the negation of the converse?

No, the inverse is not the negation of the converse. Actually, that is contrapositive you are referring to. The inverse is the negation of the conditional statement. For instance:P → Q~P → ~Q where ~ is the negation symbol of the sentence symbols.


What is the difference between inverse Converse and reverse?

First, it helps to look at the verb usage: you can reverse something, but you cannot inverse or converse something.The distinctions between reverse, converse, and inverse can often be made by looking at their roots and simple forms.Reverse - look at revert. It means to return to a former condition, position, etc. The root is from the Latin reversus, which means to turn back. Reverse is often used to describe a directional change."I reversed my position on the matter.""The water is now flowing in reverse."Converse - look at convert. It means to change from one form to another. The root is from the Latin converses, which means to turn around. Converse is often used to describe the 'exact' opposite."Black is the converse color of white.""Jill is a democrat; conversely, Jack is a republican."Inverse - look at invert. It means to turn upside down or inside out. The Latin root, inversus, means the same. Inverse is often used to compare how two things are related in an opposite matter."The inverse of 1,2,3,4 is 4,3,2,1." *note that reverse is a process of inversion"The relationship between the amounts of water in a container is inverse to the amount of space; the amount of space decreases as the amount of water increases." *note that the reverse of this is not trueWhen used in logical or mathematical statements:If the statement is: if p then q* converse: if q then p* inverse: if not p then not q* contrapositive: if not q then not pIf a statement is true, the contrapositive is also logically true. Likewise, when the converse is true, the inverse is also logically true.


If two angles are right,they are congruent.ConverseInverseContrapositive?

if numbers grow too large to represent at the fixed level of precision

Related questions

What is the converse of the inverse of the conditional of the contrapositive?

The converse of an inverse is the contrapositive, which is logically equivalent to the original conditional.


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 Statements that have the same truth value?

conditional and contrapositive + converse and inverse


What is the inverse of the contrapositive of the converse?

This would be logically equivalent to the conditional you started with.


What statements that always have the same-truth value?

conditional and contrapositive + converse and inverse


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


State the converse the contrapositive and the inverse what conditional statement If the television is on you will not do homework?

none


Is The inverse is the negation of the converse?

No, the inverse is not the negation of the converse. Actually, that is contrapositive you are referring to. The inverse is the negation of the conditional statement. For instance:P → Q~P → ~Q where ~ is the negation symbol of the sentence symbols.


What is the converse of this You can do it We can help?

if then form: if you can do it, then we can help converse: if we help, then you can do it. inverse: if you cant do it, then we cant help contrapositive: if we cant help, then you cant do it.


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 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.