If x < 12, then it must be true that... Choose the correct choice from the following answers.
A) -x < -12	B) -x - 2 < 14	C) -x + 2 < -10	D) x + 2 < 10	E) x - 5 < 16
A. -x &lt; -12 --&gt; x&gt;12. Not true.   B. -x - 2 &lt; 14 --&gt; x&gt;-16. Not true, consider x=-20.   C. -x + 2 &lt; -10 --&gt; x&gt;12. Not true.   D. x + 2 &lt; 10 --&gt; x&lt;8. Not true, consider x=10.   E. x - 5 &lt; 16 --&gt; x&lt;21. Since given that x&lt;12, then x is for sure less than 13. Thus this statement must be true.   Answer: x - 5 &lt; 16.
<result>E</result>
If x < 12, then it must be true that...