answersLogoWhite

0

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

User Avatar

Wiki User

15y ago

What else can I help you with?

Continue Learning about Math & Arithmetic

What is converse inverse and contrapositive?

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


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.


How do you write the inverse converse and contrapositive of the statement a triangle is equilateral if it has three sides with the same lenghts?

The original statement is: "If a triangle has three sides of the same length, then it is equilateral." Inverse: "If a triangle does not have three sides of the same length, then it is not equilateral." Converse: "If a triangle is equilateral, then it has three sides of the same length." Contrapositive: "If a triangle is not equilateral, then it does not have three sides of the same length."


If p q and q r then p r. Converse statement B. A syllogism C. Contrapositive statement Inverse statement?

The statement "If p, then q; and if q, then r; therefore, if p, then r" is an example of a syllogism, specifically a form of logical reasoning known as the transitive property. The converse of this statement would be "If r, then p," which is not necessarily true based on the original premises. The contrapositive would be "If not r, then not p," and the inverse would be "If not p, then not q."

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.


What is converse inverse and contrapositive?

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


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


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

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


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


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.


The second statement is the of the first. A. contradiction B. contrapositive C. converse D. inverse?

The second statement is the contrapositive of the first. The contrapositive of a statement reverses and negates both the hypothesis and conclusion. In logical terms, if the first statement is "If P, then Q," the contrapositive is "If not Q, then not P."