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Question
यदि |x + 3| ≥ 10, तो
Options
x ∈ (–13, 7]
x ∈ (–13, 7)
x ∈ (–∞, –13] ∪ [7, ∞)
x ∈ [–∞, –13] ∪ [7, ∞)
MCQ
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Solution
x ∈ (–∞, –13] ∪ [7, ∞)
स्पष्टीकरण:
x ∈ (–∞, –13] ∪ [7, ∞) सही विकल्प है क्योंकि |x + 3| ≥ 10,
⇒ x + 3 ≤ –10 या x + 3 ≥ 10
⇒ x ≤ –13 या x ≥ 7
⇒ x ∈ (–∞, –13] ∪ [7, ∞)
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असमिकाएँ
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