|x + 3| < 5 –8 < x < 2 –2 < x < 8 3 < x < 5 –3 < x < 5

asked May 23, 2018 160k views

3 votes

|x + 3| < 5

–8 < x < 2
–2 < x < 8
3 < x < 5
–3 < x < 5

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4 votes

Answer:

Explanation:

$|x+3|<5\iff x+3<5\ \wedge\ x+3>-5\qquad\text{subtract 3 from both sides}\\\\x<2\ \wedge\ x>-8\Rightarrow -8<x<2$

Andre Rocha answered May 27, 2018

8.2k points

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