JEE MATHEMATICS MCQ: SET THEORY

1 Easy

1 of 1

Understanding +4 | -1

For any three sets

{A_1},{A_2},{A_3},

let

{B_1} = {A_1},{B_2} = {A_2} - {A_1}

and

{B_3} = {A_3} - \left( {{A_1} \cup {A_2}} \right),

then which one of the following statement is always true

View answer and explanation

Correct option: A

{A_1} \cup {A_2} \cup {A_3} \supset {B_1} \cup {B_2} \cup {B_3}

Option B (

{A_1} \cup {A_2} \cup {A_3} = {B_1} \cup {B_2} \cup {B_3}

) is correct because the sets B_i are constructed to be disjoint and their union is equal to the union of the A_i.

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2 a_1 a_2 a_3 \ldots . . a_{2006}

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