<p>Question with diagram:</p>
<p><a href="http://imgur.com/wJ8VzqF">http://imgur.com/wJ8VzqF</a>
<a href="http://imgur.com/FOtfxug">http://imgur.com/FOtfxug</a></p>
<p>Replace astrikes with "imgur"
Please explain with the concerned topic so that I can get other questions like these right.</p>
<p>@Jor26029 Your answers are correct.</p>
<p>Actually I first solved the given equation and got 2/3 > x. Then looked at the choices to determine which one covers all the values of x.</p>
<p>2/3 lies between 1/2 and 3/4. So I chose D. In answer C, 1/4 < x < 1/2 so 2/3 doesn’t even appear there. 2/3 is 0.666~ and it doesn’t lie between 0.25 and 0.5. That’s why I chose D.</p>
<p>Can you explain why D is wrong and is C is correct. And exactly how to backsolve this type of question?</p>
<p>For the second one I just eliminated all the other choices except for D because D was the only one that was different from the rest — lol </p>
<p>@Jor26029 I couldn’t understand your explanation of the inequality question. Can you please explain it a little more clearly. Sorry.</p>