Which of the following inequalities has a solution set, when graphed on the number line, is a single line segment of finite length? Options: A) 2 <= 5x+6 <= 6 B) 2 <= 3x+4 <= 6 C) 2 <= 5x+4 <= 6 D) 2 <= 3x+7 <= 6 E) 2 <= 3x+8 <= 6
The key words in the stem are:a singleline segment offinite length   Now, answer choices A, B, and C can not be correct answers as solutions sets for these exponential functions are not limited at all (&gt;= for even powers and &lt;= for odd power) and thus can not be finite (x can go to + or -infinity for A and C and x can got to -infinity for B). As for D: we have thatabsolute valueof x is between two positive values, thus the solution set for x (because of absolute value) will be two line segments which will be mirror images of each other.   Answer: 2 &lt;= 3x+4 &lt;= 6.
<result>B</result>
Which of the following inequalities has a solution set, when graphed on the number line, is a single line segment of finite length?