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What is the solution to |x − 4| ≥ 7?

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Answer:

(x ≤ -3) ∪ (11 ≤ x)

Explanation:

The given equation resolves to two equations:

x -4 ≥ 7 ⇒ x ≥ 11

x -4 ≤ -7 ⇒ x ≤ -3

The solution is (x ≤ -3) ∪ (11 ≤ x).

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