Answer: x < 4 and x > -4
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Work Shown:
-2 | x | > -8
| x | < -8/(-2)
| x | < 4
-4 < x < 4
-4 < x and x < 4
x < 4 and x < -4
x < 4 and x > -4
Side note: the inequality sign flips in the 2nd step because we divided both sides by a negative number. Also, I used the rule that [tex]| x | < k[/tex] leads to[tex]-k < x < k[/tex] only when k is positive.
