If |x|/|4| > 1, which of the following must be true? Pick one:
A) x>4
B) x<4
C) x=4
D) x!=4
E) x<-4
Notice that if x = 4, then |x| / |4| = |4| / |4| = 1, so |x| / |4| is NOT more than 1, it's equal to 1. Thus if x 4  /  4= 
<gadget id="calculator">4  /  4</gadget>
<output>1</output>
1, so |x| / |4| is NOT more than 1, it's equal to 1. Thus if x= 4, the given inequality does NOT hold true.   As for the other options.   D. x ≠ 4 --&gt; we know that x &lt; -4 or x &gt;4. Thus x cannot be 4. Thus this option is true.   ANSWER: x!=4 x!=4
<result>D</result>
If |x|/|4| > 1, which of the following must be true?