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The set of integers less than -7 or greater than -1 includes all integers to the left of -7 on the number line and all integers to the right of -1 on the number line. In interval notation, this set can be represented as (-∞, -7) ∪ (-1, ∞). This set is infinite and includes all whole numbers that are not between -7 and -1 on the number line.

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