Translate the following statement into symbolic into symbolic from.
(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 `3x^(2)` - x - 10= 0
(vii) Students can take Hindi or English as an optional paper.

Answer

N/a

Explanation

(i) p: Rahul passed in Hindi.
q: Rahul passed in English.
…... Rahul passed in Hindi and English.
(ii) p : x is even integers
q: y is even integers
……. x and y are even integers.
(iii) p : 2 is factor of 12.
q: 3 is factor of 12
r : 6 is factor of 12
......
(iv) p x is an odd integer.
q (x-1) is an odd integer.