How do you solve $|1/3x + 2| - 8 > -3$ ?

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How do you solve $|1/3x + 2| - 8 > -3$ ?

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Answer 1 · 2016-07-20T04:25:49

x > 9
x < - 21

Explanation:

$Ix/3 + 2I > -3 + 8$
$Ix/3 + 2I > 5$
separate solving into 2 parts:
a. $(x/3 + 2) > 5$
$x/3 > 3$
$x > 9$
b. -(x/3 + 2) > 5
-x/3 - 2 > 5
-x/3 > 7
x < - 21
Graph

============ -21------------------- 0---------- 9==============

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How do you solve $|1/3x + 2| - 8 > -3$ ?

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How do you solve |1/3x + 2| - 8 > -3|1/3x + 2| - 8 > -3?

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How do you solve $|1/3x + 2| - 8 > -3$ ?