Solve the inequality |x-4| > 8

|x-4| > 8

The distance of x from 4 is more than 8.

<=====O-------------------+--------------------O=====>

-4 4 12

x < -4 or x > 12

Solve the inequality |x-4| > 8

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Westford, MA

|x-4| > 8

The distance of x from 4 is more than 8.

<=====O-------------------+--------------------O=====>

-4 4 12

x < -4 or x > 12

Sarasota, FL

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

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