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## Main Question or Discussion Point

how do you go about solving abs value inequalities with double variables when the abs value bars are on both the variables?

eg; |

eg; |

**x**|*+ or -*|**y**|*=, >, <,***a**- Thread starter h00zah
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- #1

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how do you go about solving abs value inequalities with double variables when the abs value bars are on both the variables?

eg; |**x**| *+ or -* |**y**| *=, >, <,* **a**

eg; |

- #2

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this is not h.w, we're doing this in class and we haven't been shown how to do this and there are no examples in my text.

- #3

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You don'tbut when |x| "is less than or equal to" a, how do you represent both rules at once?

You divide the problem in to n regions/conditions.

In this problem it is four conditions; x and y , positive and negative.

Then the interval solutions depend on the condition/region.

Check out

http://www.purplemath.com/modules/absineq.htm

- #4

Mark44

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Like this: -a <= x <= aI know that when |x| < a it must be -a < x < a, but when |x| "is less than or equal to" a, how do you represent both rules at once?

this is not h.w, we're doing this in class and we haven't been shown how to do this and there are no examples in my text.

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