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Question
Solve for x: |3 − x| < 7
Solution
– 7 < 3 – x < 7
3 – x > – 7
– x > – 7 – 3 ......(= – 10)
– x > – 10
⇒ x < 10
3 – x < 7
– x < 7 – 3 (= 4)
– x < 4x > – 4 ......(2)
From (1) and (2)
⇒ x > – 4 and x < 10
⇒ – 4 < x < 10
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