Q:

Which absolute value expression represents the distance between the points shown on the number line?A) |4 − 1| B) |4 − (−1)| C) |−4 + (−1)| D) |−4 − (−1)|

Accepted Solution

A:
Answer:We will take option B.Step-by-step explanation:Option A) |4 − 1| = 3 units Option B) |4 − (−1)| = 5 units Option C) |−4 + (−1)| = 5 units Option D) |−4 − (−1)| = 3 units. Now, from the number line and from the points given on the number line it is clear that the distance from one point to another is 5 units. So. option B or Option C can be the right one. Now, the right side point is on +4 point and the left side point is on -1 point. So, the distance between those points will be calculated as 4 - (- 1) = 5. Therefore, we will take option B. (Answer)