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)
