Which of the following values of ‘x’ satisfy the inequality x(x – 6) > 2x – 12?

Correct Option - 2


Detailed Solution:

x (x – 6) > 2x – 12

x² – 6x > 2x – 12

x² – 8x > 12x > 0

(x – 2) (x – 6) > 0

x < 2 or x >6

<p><span lang="EN-IN">x (x – 6) &gt; 2x – 12 </span></p><p><span lang="EN-IN">x² – 6x &gt; 2x – 12</span></p><p><span lang="EN-IN">x² – 8x &gt; 12x &gt; 0</span></p><p><span lang="EN-IN"> (x – 2) (x – 6) &gt; 0</span></p><p><span lang="EN-IN">x &lt; 2 or x &gt;6</span></p><div class="photo-widget-full"><div class="figure"><picture><source srcset="" media=" (max-width: 500px)"><img src="https://images.shiksha.com/mediadata/images/1754900886phpCrNRN4.jpeg" alt="" width="251" height="53" loading="lazy"></picture></div></div>

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