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algebra 2

what is the domain in interval notation when the restrictions are x cannot = 2 and x cannot = -2?

I got (-infinity, 2) U (2,-infinity)
(-infinity, -2) U (-2, infinity)
but my math teacher marked this as wrong

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  1. think about it. You want

    (-∞,-2)U(-2,2)(2,∞)

    You have duplicated some intervals and overlapped them.

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  2. forgot the 2nd U. Should be

    (-∞,-2)U(-2,2)U(2,∞)

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