#### Answer

(2,6)

#### Work Step by Step

1.) Set the inequality equal to the original value and then set another inequality equal to the opposite of the original value with the opposite sign.
x-4$\lt$2 and x-4$\gt$-2
2.) Solve the first inequality for x by adding 4 to both sides
x-4$\lt$2
+4 +4
x$\lt$6
3.) Solve the second inequality for x by adding 4 to both sides
x-4$\gt$-2
+4 +4
x$\gt$2
4.) Combine the two inequalities to find the set of values x can be
(2,6)