A. X is less than or equal to -1 or greater than or equal to 1. this is a split answer because everything between -1 and 1 doesn't work

B. x is less than or equal to 3. this is an infinite answer because it's all numbers below 3

C. X is less than or equal to -4 and greater than or equal to 4. another split answer that goes infinitely in either direction.

D. 2 <= |x| <= 5

x can be anywhere between 2 and 5 or -2 and -5. finite answer, but split into 2 sections.

so by process of elimination we know that E must be the answer.

E. 2 <= 3x+4 <6>= -2 and 3x<= 2

-2/3 <= x <= 2/3

finite answer in one line segment.

Answer E
EDIT:

http://en.wikipedia.org/wiki/Number_line there's the wikipedia article for number line. they're looking for the equation that has all it's answers concentrated on one finite line.

so if any number over 3 is an answer it won't work because that's an infinite answer

if any number below -1 OR above 3 is an answer it won't work because there's a gap between -1 and 3.