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BITSAT 2014

Exam: BITSAT
Year: 2014
Subject: Mathematics
Chapter: Sets and Relations

BITSAT 2014 · Mathematics · Sets and Relations

The set (A B) (B A) is equal to]

The set

(A \backslash B) \cup(B \backslash A)

is equal to]

Options

A $[A \backslash(A \cap B)] \cap[B \backslash(A \cap B)]$
B $(A \cup B) \backslash(A \cap B)$
C $A \backslash(A \cap B)$
D $\overrightarrow{A \cap B} \backslash A \cup B$

Correct answer

B. $(A \cup B) \backslash(A \cap B)$

Step-by-step solution

Given set can be written as

(A-B) \cup(B-A)=(A \cup B)-(A \cap B)

(By definition of symmetric difference) Hence,

(\mathrm{A} \backslash \mathrm{B}) \cup(\mathrm{B} \backslash \mathrm{A})=(\mathrm{A} \cup \mathrm{B}) \backslash(\mathrm{A} \cap \mathrm{B})

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