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Question

Solve |x + 2| = 7

A
- 9
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B
5
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C
Neither
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D
Both
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Solution

The correct option is D Both
To clear the absolute value bars, we must split the equation into its two possible two cases, one case for each sign:
(x+2)=7 or (x+2)=7
x+2=7 or x2=7
x=5 9=x

The solution is x = -9, 5.
The correct answer option is D.


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