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Question Stats:
62% (02:25) correct 38% (02:32) wrong based on 261 sessionsHistory
We have two cases as we have ||x - 3| - 4| > 3 | |
-Case 1: |x - 3| -4 > 3 => | x - 3 | > 7 => x - 3 > 7 or x - 3 < -7 => x > 10 or x < -4 => ( -∞, -4) or ( 10, ∞) | -Case 2: |x - 3| -4 < -3 => | x - 3 | < 1 => -1 < x -3 < 1 => -1 + 3 < x < 1 + 3 => 2 < x < 4 => (2, 4) |