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Q: How do you rewrite a biconditional as two conditional statements?
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when the biconditional statement is separated into a conditional and its converse which of these cannot be the converse Biconditional: Lines r coplanar if and only if they lie in the same plane.?

If lines lie in two planes, then the lines are coplanar.


What is biconditional statement?

A bi-conditional statement is one which says that if any one of two statements is true, the other is true, too. It generally takes the form, X is true if and only if Y is true, or X is equivalent to Y, where X and Y are simpler statements.


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.


which is a biconditional statement combining the following conditional statement and its converseConditional: If two figures are congruent, they have the same shape and size.Converse: If two figures have the same shape and size, they are congruent.?

Two figures are congruent if and only if they have the same shape and size.


What kind of conditional statemenr is this If a number is negative then it is less than zero If a number is less than zero then it is a negative number?

There are two statements and it is not clear which one you are referring to.

Related questions

What are biconditional statements?

A biconditional statement is a compound statement consisting of a double conditional: "She's going to the party if and only if I'm going." (I'm going if she's going and vice-versa.) Thus, it's basically the conjunction of two conditionals, where the antecedent of either is the consequent of the other.


when the biconditional statement is separated into a conditional and its converse which of these cannot be the converse Biconditional: Lines r coplanar if and only if they lie in the same plane.?

If lines lie in two planes, then the lines are coplanar.


What is biconditional statement?

A bi-conditional statement is one which says that if any one of two statements is true, the other is true, too. It generally takes the form, X is true if and only if Y is true, or X is equivalent to Y, where X and Y are simpler statements.


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.


What is a biconditional?

A biconditional is a statement wherein the truth of each item depends on the truth of the other.


which is a biconditional statement combining the following conditional statement and its converseConditional: If two figures are congruent, they have the same shape and size.Converse: If two figures have the same shape and size, they are congruent.?

Two figures are congruent if and only if they have the same shape and size.


When two statements are connected with the word or the new statement is called a conjunction disjunction conditional or a converse?

Disjunction


What are the two conditional statements from the following Two numbers are reciprocals if and only if their product is 1?

If two numbers are reciprocals, then their product is 1. If the product of two numbers is 1, then they are reciprocals.


How do you use the conditional statement of turbo c?

#include<stdio.h> void main() { int a=10,b=15; clrscr(); if(a>b) printf("%d is the large number",a); else printf("%d is the large number",b); getch(); }


How do you use the law of syllogism?

The law of syllogism is a logical rule that lets you draw a conclusion from two conditional statements. If the first statement leads to the second statement and the second statement leads to a third statement, you can infer that the first statement leads to the third statement. It's a way to combine multiple conditional statements to draw a single conclusion.


What of the following is a true biconditional statement?

the product of two integers is odd if and only if the two factors are odd


What kind of conditional statemenr is this If a number is negative then it is less than zero If a number is less than zero then it is a negative number?

There are two statements and it is not clear which one you are referring to.