Question

For each of the following compound statements first identify the connecting words and then break it into component statements
(i) All rational numbers are real and all real numbers are not complex
(ii) Square of an integer is positive or negative
(iii) The sand heats up quickly in the Sun and does not cool down fast at night
(iv) and are the roots of the equation  

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Solution
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(i) Here the connecting word is 'and'
The component statements are as follows
All rational numbers are real
All real numbers are not complex

(ii) Here the connecting word is 'or'
The component statements are as follows
Square of an integer is positive
Square of an integer is negative 

(iii) Here the connecting word is 'and'
The component statements are as follows
The sand heats up quickly in the sun
The sand does not cool down fast at night

(iv) Here the connecting word is 'and'
The component statements are as follows
is a root of the equation 
is a root of the equation 

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Mathematics
NCERT
Exercise 14.3
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