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MathsJEE Main 21 Jan 2026, Shift 2·Q13·MCQ·Easy–moderate

Sets, Relations & Functions · Set operations on intervals

Let A={x:∣x2−10∣≤6}A = \{x : \lvert x^2 - 10\rvert \le 6\} and B={x:∣x−2∣>1}B = \{x : \lvert x - 2\rvert > 1\}. Then
  1. (1)A∪B=(−∞,1]∪(2,∞)A \cup B = (-\infty, 1] \cup (2, \infty)
  2. (2)A−B=[2,3)A - B = [2, 3)
  3. (3)A∩B=[−4,−2]∪[3,4]A \cap B = [-4, -2] \cup [3, 4]
  4. (4)B−A=(−∞,−4)∪(−2,1)∪(4,∞)B - A = (-\infty, -4) \cup (-2, 1) \cup (4, \infty)

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