Question

Which expression shows the distance on the number line between −12 and −1 ?

∣∣−12+(−1)∣∣

∣∣−12−(−1)∣∣

|−1−12|

|−12−1|

Answer 1

Answer:

b) The distance  between −12 and −1      is     ∣∣−12−(−1)∣∣

Step-by-step explanation:

The point A = -1

The point B = -12

To find The distance  from A  to B on the number line.

Now, distance of a point B from the point A is given as  I B - A I

Definition of  Modulus Function

I x I =  x, if x > 0

      = -x   if x< 0

Similarly, here the distance is given as

I B - AI  = I (-12)  - (-1) I  = I  -12 + 1 I  

            = I -11  I   = -(-11)   =  11     ( as x < 0)

or the distance of point B from point A = + 11 units.

Hence, I B - AI   = ∣∣−12−(−1)∣∣

Answer 2

Answer:

||-12+(-1)∣∣

Step-by-step explanation:

∣∣−12+(−1)∣∣

∣∣−12−(−1)∣∣

|−1−12|

|−12−1|