1.

Identify the type of Or used in the following statements and cheek whether the statements are true or false:(i) `sqrt(2)`is a rational number or an irrational number.(ii) To enter into a public library children need an identity card from the school authorities.(iii) A rectangle is a quadrilateral or a 5-sided polygon.

Answer» (i)`sqrt2`is a rational number or an irrational number.
a)`sqrt2`is a rational number.` -> False`
b) `sqrt2`is an irrational number.` -> True`
Out of these two statements, only one statement can be true.
So, type of this statement is `Exclusive` `OR`.
As, one of the statement is true, so this statement is true.

(ii) To enter into a public library children need an identity card from the school or a letter from school authorities.
a) To enter into a public library children need an identity card from the school.
b) To enter into a public library children need a letter from school authorities.
Both of these satatements can be true.
So, type of this statement is `Inclusive` `OR`.
Also, both of these statements are false as to enter into a public library children do not need any permission from school.

(iii) A rectangle is a quadrilateral or a 5-sided polygon.
a)A rectangle is a quadrilateral. `->True`.
b)A rectangle is a 5-sided polygon.`-> False`
Out of these two statements, only one statement can be true.
So, type of this statement is `Exclusive` `OR`.
As, one of the statement is true, so this statement is true.


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