State whether the following are true and false and also give reasons:
1.5/0 is a rational number.
2.All integers are rational numbers.

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Solution

Dear Student,

$\frac{5}{0} = \infty w h i c h i s u n d e f i n e d H e n c e i t i s n e i t h e r r a t i o n a l n o r i r r a t i o n a l . H e n c e t h e f i r s t s t a t e m e n t i s F a l s e E v e r y I n t e g e r i s r a t i o n a l n u m b e r \sin c e i t c a n b e w r i t t e n i n f o r m o f \frac{n}{1} H e n c e t h i e s e c o n d s t a t e m e n t i s T R U E$

Regards,

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