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Advanced Math/solving absolute value inequalities

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Question
how do i solve the following problem:
/x+3/-2<1

Answer
Hi Cynthia~
    First get the absolute value by itself on one side of the equation:

|x+3| < 3

Now use the rule that says |x|<a -> -a< x <a -> -3 < x+3 < 3 and solve for x on both sides:
-> x > -6 and x < 0. It might help if you were to put this solution on a number line but what it says is that x is between -6 and 0: (-6, 0) in interval notation or -6 < x < 0.

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Sherry Wallin

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I can answer most questions up through Calculus and some in Number Theory and Abstract Algebra.

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