## Calculus (3rd Edition)

(-$\infty$,2) U (6,$\infty$)
1.) Set what the inequality equals to what it originally equals, and then set it to the opposite of that number with the opposite inequality sign x-4$\gt$2 and x-4$\lt$-2 2.) Solve the first inequality for x by adding 4 to both sides x-4$\gt$2 +4 +4 x$\gt$6 3.) Identify the interval of x values the inequality is identifying x$\gt$6 = (6,$\infty$) 4.) Solve the second inequality for x by adding 4 to both sides x-4$\lt$-2 +4 +4 x$\lt$2 5.) Identify the interval of x values the inequality is identifying x$\lt$2 = (-$\infty$,2) 6.)Combine the two intervals using a union. (-$\infty$,2) U (6,$\infty$)