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.
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.