Previously we have discussed about number line worksheets and In today's session we are going to discuss about Bi conditional statements which is a part of maharashtra state board of secondary and higher secondary education ac provides you excellent college algebra help. They are used to write the definitions in the geometry. In geometry definition is defined as statements for defining the mathematical objects and these statements are written in the form of bi conditional statements. For creating the bi conditional statements we combine the conditional statements and also converse it .
Bi Conditional statements are the statements that are written in the form of “ x if and only if y; “ that have the meaning that if x is true then y is also true. Bi conditional statements “ x if and only if y “ is also write as “ x iff y “ or x < - > y .
When both the conditional statement and its converse are true then its bi conditional statement is also true . When both the conditional and its converse are false then the bi conditional statement is also false .
Bi conditional statement examples:
If there are two statements x : A polygon is a triangle .
Y : A polygon has absolutely 3 sides .
So the problem based on these statements is determine the truth values of these statements :
( x → y ) > ( y → x ) .This compound statement is defined as the conjunction of the two conditional statements .In these type of statements the first statement is known as hypothesis and statement y is known as the conclusion .In the second statement y is the hypothesis and x is the conclusion .
The above statements are described by the truth table as :
x y x->y y->x ( x → y ) > ( y → x )
T T T T T
T F F T F
F T T F F
F F T T T
When both the statements have the same truth values then the compound statement
( x → y ) > ( y → x ) is also true . So , this is the way of combine the two conditional statements and have a bi conditional . In the next topic we are going to discuss Boolean Laws and if anyone want to know about How to solve Perpendicular equations then they can refer to Internet and text books for understanding it more precisely.
Bi Conditional statements are the statements that are written in the form of “ x if and only if y; “ that have the meaning that if x is true then y is also true. Bi conditional statements “ x if and only if y “ is also write as “ x iff y “ or x < - > y .
When both the conditional statement and its converse are true then its bi conditional statement is also true . When both the conditional and its converse are false then the bi conditional statement is also false .
Bi conditional statement examples:
If there are two statements x : A polygon is a triangle .
Y : A polygon has absolutely 3 sides .
So the problem based on these statements is determine the truth values of these statements :
( x → y ) > ( y → x ) .This compound statement is defined as the conjunction of the two conditional statements .In these type of statements the first statement is known as hypothesis and statement y is known as the conclusion .In the second statement y is the hypothesis and x is the conclusion .
The above statements are described by the truth table as :
x y x->y y->x ( x → y ) > ( y → x )
T T T T T
T F F T F
F T T F F
F F T T T
When both the statements have the same truth values then the compound statement
( x → y ) > ( y → x ) is also true . So , this is the way of combine the two conditional statements and have a bi conditional . In the next topic we are going to discuss Boolean Laws and if anyone want to know about How to solve Perpendicular equations then they can refer to Internet and text books for understanding it more precisely.
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