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 3x₂ – x – 10 = 0.

<p>This is a &nbsp;Mathematical Reasoning Solutions Type Questions as classified in NCERT Exemplar</p><p><strong> (i) </strong>Here, 'and' is the connecting word</p><p>The component statements are–</p><p><strong> (a)</strong> All rational numbers are real</p><p><strong> (b)</strong> All real numbers are not complex</p><p><strong> (ii) </strong>Here, 'or' is the connecting word</p><p>The component statements are–</p><p><strong> (a)</strong> Square of an integer is positive</p><p><strong> (b)</strong> Square of an integer is negative</p><p><strong> (iii) </strong>Here, 'and' is the connecting word</p><p>The component statements are–</p><p><strong> (a)</strong> The sand heats up quickly in the Sun</p><p><strong> (b) </strong>The sand does not caool down fast at night</p><p><strong> (iv)</strong> Here, 'and' is the connecting word</p><p>The component statements are–</p><p><strong> (a) </strong>n = 2 is the root of the equation 3<em>x</em>²–x– 10 = 0</p><p><strong> (b) </strong>n = 3 is the root of the equation 3<em>x</em>²– x–10 = 0</p>

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