Which absolute value expression represents the distance between 3 and −5 on a number line? A) |3 − 5| B) |3 − (−5)| C) |−3 + 5| D) |−3 − (−5)|
Accepted Solution
A:
Answer:B) To represent the distance between 3 and −5 on a number line, the correct expression is I(3) - (-5)I .Step-by-step explanation:Here the point A is given as 3 on number line.Point B is given as -5 on number line.To find : IA-BIThe distance between any two point A and B is given as IA-BI.Now, to find the absolute value:IA-BI = I (3) - (-5)I or, IA-BI = I (3) + 5I = I8I= 8 unitsor, IA-BI = 8 unitsHence, on the number line, the distance between -5 and 3 is 8 units. And, to represent the distance between 3 and −5 on a number line, the correct expression is I(3) - (-5)I .