How do you solve |y+9|>4?

Absolute value means that it doesn't matter if the number in the bars is positive or negative, it still comes out to be a positive number. Since the absolute value of anything greater than -4 added with 9 is greater than 4, one answer is y>-4. Absolute value inequalities and equation often have two answers though, a positive and a negative. And since the absolute value of anything less than -14 plus 9 is greater than 4, the second answer is y<14.

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