Question 1 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) x = 2 and x = 3 are the roots of the equation 3x^2 – x – 10 = 0.
Class X1 - Maths -Mathematical Reasoning Page 334
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concept : The connecting words are ' and' and 'or'. on the basis of that break it into to components .
(i) connecting word is ' and '
P : all rational numbers are real
Q : all real numbers are not complex.
(ii) connecting word is ' or '
P : square of an integer is positive .
Q : square of an integer is negative.
(iii) connecting word is ' and '
P : The sand heats up quickly in the sun.
Q : The sand doesn't cool down fast at night .
(iv) connecting word is ' and '
P : x = 2 is the root of equation 3x² - x - 10 = 0
Q : x = 3 is the root of equation 3x² - x - 10 = 0
(i) connecting word is ' and '
P : all rational numbers are real
Q : all real numbers are not complex.
(ii) connecting word is ' or '
P : square of an integer is positive .
Q : square of an integer is negative.
(iii) connecting word is ' and '
P : The sand heats up quickly in the sun.
Q : The sand doesn't cool down fast at night .
(iv) connecting word is ' and '
P : x = 2 is the root of equation 3x² - x - 10 = 0
Q : x = 3 is the root of equation 3x² - x - 10 = 0
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