Explanation of the question:

Vavali wrote:

Which of the following inequalities has a solution set that when graphed on the number line, is a single line segment of finite length.

There are several inequailities below. Their solutions can be presented as a set of line segments, some of which might be finite and some infinite. Which one of the equations has a solution set that consists of only one finite length segment.

Vavali wrote:

a) x^4 > or = 1

solution is a set of two intervals of infinte length x<-1 and x>1

Vavali wrote:

b) X^3 < or = 27

solution is a set of one interval of inifite length x<3

Vavali wrote:

c) x^2 > or = 16

solution is a set of two intervals of infinite length x<-4 and x>4

Vavali wrote:

d) 2 < or = |x|< or = 5

solution is a sete of two intervals of finite length -5<x<-2 and 2<x<5

Vavali wrote:

e) 2 < or = 3x + 4 < or = 6

solution is a set of one interval of finite length -2/3<x<2/3

I hope that helps!