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MathsEasyMCQ2020 · 09 Jan Shift 2

Q51.If A = {x ∈R : |x| < 2} and B = {x ∈R : |x −2| ≥3}; then (1) A ∩B = (−2, −1) (2) B −A = R −(−2, 5) (3) A ∪B = R −(2, 5) (4) A −B = [−1, 2)

What This Question Tests

This question tests the understanding of set definitions based on inequalities involving absolute values and basic set operations like intersection and difference.

Concepts Tested

Set representation using inequalitiesAbsolute value inequalitiesSet operations (intersection, difference)

Formulas Used

|x| < a <=> -a < x < a

|x| >= a <=> x >= a or x <= -a

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