Question

How do you solve `abs(x-1)<=9`?

Answer 1

Solution is `-8<=x<=10`

Explanation:

`|x-1|<=9` means either `x-1<=9` or `-(x-1)<=9`

`x-1<=9`

`hArrx<=9+1` or `x<=10`

`-(x-1)<=9`

`hArr-x+1<=9` or `1-9<=x` or `-8<=x`

Hence, solution is `-8<=x<=10`