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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

2 answers

think about it. You want

(-∞,-2)U(-2,2)(2,∞)

You have duplicated some intervals and overlapped them.

forgot the 2nd U. Should be

(-∞,-2)U(-2,2)U(2,∞)

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