#### Answer

(a) $|x|<3$
(b) $|x|>3$

#### Work Step by Step

(a) The set of all points on the real line whose distance from zero is less than 3 can be described by the absolute value inequality ___$|x|<3$___.
(b) The set of all points on the real line whose distance from zero is greater than 3 can be described by the absolute value inequality ___$|x|>3$___.