Question

describe the domain |x-1|

Answer 1

The domain is all real numbers... x>=1

Answer 2

well I mean all the positive numbers.

Answer 3

absolute value means the special function which makes the value x >= 0.

Answer 4

The Domain is All Real Numbers.
You are confusing it with the Range.

Answer 5

What about the domain of |x-1| <3 ?

Answer 6

Define "Domain" in this context. The set of all possible values that could be solutions until we rule them out? Or the actual solutions?

Answer 7

actually solutions

Answer 8

"Less than" is the easy one. With "greater than", it's a little trickier.

For |x-3| < 3, we have immediately -3 < (x-3) < 3

Adding 3 gives the complete solution. 0 < x < 6

Don't try that with "greater than".

Answer 9

thanks