hmmm, let's see.
Answer B
why?
D, and E sound like they're out, but let's check.
D) 2 <= |x| <= 5, this translates to |x|>=2 and |x|<=5
x>=2 or x<=-2 and x<=5 or x>=-5 so x is between -5 and -2 or between 2 and 5, not a infinite length line segment.
E) 2<=3x+4<=6
2-4<=3x+4-4<=6-4
-2<=3x<=2
-2/3<=x<=2/3 also not a infinite length line segment.
***on test day, if an option looks as it's not the one focus on the others first, try not to waste your time, but for practise sake i ruled them out***
so, why not A or C
A and C are true for positive and negative numbers.
in A all values greater than 1 and smaller than -1 will funtion here, so the line would break between theese numbers.
in C all values greater than 4 and smaller than -4 will funtion here, so the line would break between theese numbers.
B is the only inequality that has a single infinite line segment, from -infinity to 3.