SOLUTION: What values of x satisfy |x - 4| + |x + 4| <= 10? Express your answer in interval notation.

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Question 1033367: What values of x satisfy |x - 4| + |x + 4| <= 10?
Express your answer in interval notation.
Answer by stanbon(75887) About Me  (Show Source):
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What values of x satisfy |x - 4| + |x + 4| <= 10?
Express your answer in interval notation.
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Let x >= 4 ; then you get:
x-4 + x+4 <= 10
2x <= 10
x <= 5
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You have solutions in [4,5]
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Let x <= -4 ; then you get:
4-x + -x-4 <= 10
-2x <= 10
x >= -5
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You have solutions in [-5,-4]
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Cheers,
Stan H.
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