How do I do this problem?

1<| x-4 |<3

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- Oct 19th 2008, 02:38 PMRaphaelB30Absolute Value Inequalities
How do I do this problem?

1__<__| x-4 |__<__3 - Oct 19th 2008, 02:46 PMKrizalid
Split each case.

How does one solve $\displaystyle |x|<a$ and $\displaystyle |x|>a$ ? (When solving both of them, intersect the intervals and you'll get the solution.)