HOW DO I WRITE THIS IN SET-BUILDER NOTATION ? | x - 5 | < 1?

Answer 1

{x: x ε |R ∩ (x < 6 U x > 4)}, where ε is meant to be that symbol that looks like a c with a bar in the middle, showing that a variable is in a set, in this case the set of all real numbers, which I represented as |R but should be a double-staffed R. ∩ is intersection and U is union. The proper symbols do not appear to be available in a basic text font.