# Chapter 1 - Precalculus Review - 1.1 Real Numbers, Functions, and Graphs - Exercises - Page 9: 15

(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)

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