How do you write the following statements as bi-conditional statements?? Help please!! URGENT!!?1. A rational number is a number that can be expressed a quotient of two intergers.2. A parralelogram...

How do you write the following statements as bi-conditional statements?? Help please!! URGENT!!?

1. A rational number is a number that can be expressed a quotient of two intergers.
2. A parralelogram has opposite angles equal.

Asked on by vickyvan

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neela | High School Teacher | (Level 3) Valedictorian

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In logic if P and q qre simple propositions, the  a condtional prposition is  if p then q. Or symbolically we writ this by p --> q.

A biconditional proposition is  if p then then q and if q then p, and it is denoted by  p <--> q. It is is also written like if and only if  or iff.

Example :

1) A number is rational if and only if it can be expressed as a quotient of two integers.

2) A quadrilateral is paralllogram iff it has equal opposite angles.

Thruth tabbes for a bicinditional propositions is as follows:

P                q                 P <---> q

T                 T                         T

F                  T                        F

T                  F                        F

T                  T                        T.

 

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