carrerswitch wrote:

Hi,

Could you please explain why modulus of (x+a) means distance from -a to x and not distance from a to x?

Thanks

Hi

carrerswitch,

Let me explain the concept with a different example. When we need to find the distance between two numbers, let's say 5 and 2, we write 5 - 2 = 3.

In the same way when we need to find the distance between 5 and -2 we write 5 - (-2) = 5 + 2 = 7.

Now we know that |x| = Distance of x from 0 i.e. | x - 0|. So, distance of x from a can be written as | x - a|. In the same manner distance of -a from x can be written as | x - (-a)| = |x + a|

Hope this helps

Regards

Harsh

Thanks Harsh. It did help.