x-1<x+1

i got x>1 i don't think that's right though

To solve the inequality x-1 < x+1, we can start by subtracting x from both sides:

(x-1) - x < (x+1) - x.

This simplifies to:

-1 < 1.

Since -1 is less than 1, this inequality is always true regardless of the value of x. Therefore, there are infinitely many solutions that satisfy this inequality.

So, the solution to the inequality x-1 < x+1 is x ∈ ℝ, which means that any real number will satisfy the inequality.