Which of the following inequalities has a solution set that when graphed on a number line is a single line segment of finite length?
Answer is 2<=3x+4<=6
I'm not sure why this is the case, I chose 2<=[x]<=5
[x] stands for absolute value.
the bold part: you should first of all break the | | :
|x|= x for x>=0 and |x|= -x for x < 0
+ x>= 0, we have the inequality is: 2<=x<=5 and x>=0 --> 2<=x<=5
+x< 0, we have 2<=-x<=5 and x< 0 --> -5<=x<=-2
---> the inequality has two ranges of values of x ..but the question asks for one finite range of x only --> this inequality can't be the answer choice.