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21-12-2017
Mathematics

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Graph the solution set of the compound inequality: |x+1| < 4 or |x+1| > 6

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05-06-2018

[tex]A:\\|x+1| < 4\to x+1 < 4\ \wedge\ x+1 > -4\ \ \ |-1\\\\x < 3\ \wedge\ x > -5[/tex]

[tex]B:\\|x+1| > 6\to x+1 > 6\ \vee\ x+1 < -6\ \ \ |-1\\\\x > 5\ \vee\ x < -7[/tex]

[tex]Answer:\ x\in(-\infty;\ -7)\ \cup\ (-5;\ 3)\ \cup\ (5;\ \infty)[/tex]

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