NTA Abhyas JEE Main2020MathematicsSets and RelationsPractice

If A = x ∈ R : x < 2 and B = x ∈ R : x - 2 ≥ 3 ; then

Options

AA ∩ B = - 2 , - 1
BB - A = R - - 2 , 5
CA ∪ B = R - 2 , 5
DA - B = - 1 , 2

Correct answer

B. B - A = R - - 2 , 5

Step-by-step solution

A = x : x ∈ - 2,2 B = x : x ∈ ( - ∞ , - 1 ] ∪ [ 5 , ∞ A ∩ B = x : x ∈ ( - 2 , - 1 ] A ∪ B = x : x ∈ - ∞ , 2 ∪ 5 , ∞ ) A - B = x : x ∈ - 1,2 B - A = x : x ∈ - ∞ , - 2 ∪ 5 , ∞

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