18. On the number line above, the tick marks are equally spaced. If a,c,d,s,v, and x are the coordinates of the indicated points, which of the following must be true?
Answer: B
|x−v|
The statement |x−v|
A) |a−v|
This option suggests that the distance between points a and v is less than d. However, without specific information regarding the positions of a and v relative to d, we cannot definitively conclude that this relationship holds true.
B) |x−v|
This statement is correct because it asserts that the distance between points x and v is less than d, which aligns with the context of the number line where d represents a specific distance.
C) |c−v|
Similar to option A, this choice states that the distance between c and v is less than d. Yet, without additional details about the locations of c and v, we cannot confirm this relationship as necessarily true.
D) |d−v|
This option posits that the distance between d and v is less than d itself. This is inherently contradictory since any distance cannot be less than itself, thus making this statement invalid.
Conclusion
The statement |x−v|