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Question
If |x + 3| ≥ 10, then ______.
Options
x ∈ (–13, 7]
x ∈ (–13, 7]
x ∈ (–∞, –13] ∪ [7, ∞)
x ∈ [–∞, –13] ∪ [7, ∞)
MCQ
Fill in the Blanks
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Solution
If |x + 3| ≥ 10, then x ∈ (–∞, –13] ∪ [7, ∞).
Explanation:
x ∈ (–∞, –13] ∪ [7, ∞) is the correct choice. Since |x + 3| ≥ 10.
⇒ x + 3 ≤ –10 or x + 3 ≥ 10
⇒ x ≤ –13 or x ≥ 7
⇒ x ∈ (–∞, –13] ∪ [7, ∞)
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