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| 1. |
Write the set of values of x satisfying |x - 1| ≤ 3 and |x - 1| ≤ 1. |
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Answer» |x – 1| ≤ 3 ⇒ -3 ≤ x – 1 ≤ 3 ⇒ -2 ≤ x ≤ 4 |x – 1 | ≤ 1 ⇒ -1 ≤ x – 1 ≤ 1 ⇒ 0 ≤ x ≤ 2 We have to take intersection of x ∈ [-2, 4] and x ∈ [0, 2] So, final answer is x ∈ [0, 2] |
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