The symmetric difference of A = 1, 2, 3 and B = 3, 4, 5 is: - Vidyadip

MCQ

The symmetric difference of $A = \{1, 2, 3\}$ and $B = \{3, 4, 5\}$ is:

A
$\{1, 2\}$
✓
$\{1, 2, 4, 5\}$
C
$\{4, 3\}$
D
$\{2, 5, 1, 4, 3\}.$

✓

Answer

Correct option: B.

$\{1, 2, 4, 5\}$

Here,
$\text{A} = \{1, 2, 3\}$ and
$\text{B} = \{3, 4, 5\}$
The symmetric difference of $A$ and $B$ is given by:-
$\text{(A} - \text{B)}\cup\text{(B} -\text{A)}$
Now, are have:
$\text{(A} - \text{B)}= \{1, 2\}$
$\text{(B} - \text{A)}=\{4, 5\}$
$\text{(A}-\text{B)}\cup\text{(B}-\text{A)}=\{1, 2, 4, 5\}.$

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