Solve the inequality |x-4| > 8 3/2/2014 | Kay from Manvel, TX | 2 Answers | 0 Votes Mark favorite Subscribe Comment
|x-4| > 8 The distance of x from 4 is more than 8. <=====O-------------------+--------------------O=====> -4 4 12 x < -4 or x > 12 3/3/2014 | Steve S. Comment
when solving problems with absolute value you must consider two cases Case 1: x-4 is positive x-4>8 x> 12 This is one part of the solution and Case 2: (x-4) is negative -(x-4)>8 -x + 4 > 8 -x > 8-4 -x > 4 x < -4 we must change the order of the inequality when we divide by negtive 1 x < -4 this is the other part of the solution 3/2/2014 | Tom F. Comment