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Translate the following statements into symbolic form:

i. Rahul passed in Hindi and English.

ii. x and y are even integers.

iii. 2, 3, and 6 are factors of 12.

iv. Either x or x + 1 is an odd integer.

v. A number is either divisible by 2 or 3.

vi. Either x = 2 or x = 3 is a root of 3x² – x – 10 = 0.

vii. Students can take Hindi or English as an optional paper.

0 2 Views | Posted 3 months ago
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    Answered by

    Payal Gupta | Contributor-Level 10

    3 months ago

    This is a short answer type question as classified in NCERT Exemplar

    ( i )         p : R a h u l     p a s s e d     i n     H i n d i .          q:Rahul  passed  in  English.          p∧q:Rahul  passed  in  Hindi  and  English. ( i i )       p : x     i s     a n     e v e n     i n t e g e r .                     q : y     i s     a n     e v e n     i n t e g e r .          p∧q:x  and  y  are  even  integer. (iii)  p:2  is  a   factor  of  12.           q:3  is  a   factor  of  12.           r:6  is  a   factor  of  12.          p∧q∧r:2,  3  and  6  are   factors  of  12. ( i v )     p : x     i s     a n     o d d     i n t e g e r .                     q : x + 1     i s     a n     o d d     i n t e g e r .               p ∨ q : E i t h e r     x     o r     x + 1     i s     a n     o d d     i n t e g e r . ( v )         p : A     n u m b e r     i s     d i v i s i b l e     b y     2 .                     q : A     n u m b e r     i s     d i v i s i b l e     b y     3 .               p ∨ q : A     n u m b e r     i s     d i v i s i b l e     b y     2     o r     3 . ( v i )     p :       x = 2     i s     a     r o o t     o f     t h e     e q u a t i o n     3 x 2 – x – 1 0 = 0 .           q:  x=3  is  a  root  of  the  equation  3x2–x–10=0.               p ∨ q : E i t h e r     x = 2     o r     x = 3     i s     t h e     r o o t     o f     t h e     e q u a t i o n     3 x 2 – x – 1 0 = 0 . ( v i i )   p : H i n d i     i s     t h e     o p t i o n a l     p a p e r .                     q : E n g l i s h     i s     t h e     o p t i o n a l     p a p e r .               p ∨ q : E i t h e r     H i n d i     o r     E n g l i s h     i s     o p t i o n a l     p a p e r .

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