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Question
यदि |x − 1| > 5, तो
Options
x ∈ (–4, 6)
x ∈ [–4, 6]
x ∈ [–∞, –4) ∪ (6, ∞)
x ∈ [–∞, –4) ∪ [6, ∞)
MCQ
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Solution
x ∈ [–∞, –4) ∪ (6, ∞)
स्पष्टीकरण:
ऐसा समझें, |x − 1| > 5
∴ (x − 1) < −5 or (x − 1) > 5
⇒ x < −5 + 1 or x > 5 + 1
⇒ x < −4 or x > 6
⇒ x ∈ (−∞, −4) ∪ (6, ∞)
सही उत्तर x ∈ (−∞, −4) ∪ (6, ∞) है।
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