The symmetric difference of A -1-2-3 and 3-4-5 isA- 1-2B- 1-2-4-5C- 2-5-1-4-3D- 4-3

The correct option is B 1,2,4,5 Here, nbsp; A = 1,2,3 and B = 3,4,5. The symmetric difference of sets A and B nbsp;is given by A B = (A B) ∪ (B A). No ...

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Standard XII

Mathematics

Difference of Two Sets

The symmetric...

Question

The symmetric difference of A = {1,2,3 } and {3,4,5} is ___.

{1,2}

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{1,2,4,5}

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{4,3}

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{2,5,1,4,3}

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Solution

The correct option is B
{1,2,4,5}

Here,

A = {1,2,3} and B = {3,4,5}.

The symmetric difference of sets A and B is given by

$A △ B = (A - B) \cup (B - A) .$

Now, we have

A- B = {1,2,3} - {3, 4, 5} = {1, 2},
B- A = {3, 4, 5} - {1,2,3} = {4,5}

$∴ A △ B = {1, 2} \cup {4, 5} = {1, 2, 4, 5}$

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Similar questions

Q. The symmetric difference of A = {1, 2, 3} and B = {3, 4, 5} is
(a) {1, 2}
(b) {1, 2, 4, 5}
(c) {4, 3}
(d) {2, 5, 1, 4, 3}

Q. The relation

S = {(3, 3), (4, 4)}

on the set

A = {3, 4, 5}

Q. If A = {1, 2, 3}, then a relation R = {(2, 3)} on A is
(a) symmetric and transitive only
(b) symmetric only
(c) transitive only
(d) none of these

Q. The relation

R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)}

on the set

A = {1, 2, 3}

Q. Let A = {1, 2, 3}. Then, the number of relations containing (1, 2) and (1, 3) which are reflexive and symmetric but not transitive is
(a) 1
(b) 2
(c) 3
(d) 4

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The symmetric difference of A = {1,2,3 } and {3,4,5} is ___.

The correct option is B {1,2,4,5} Here, A = {1,2,3} and B = {3,4,5}. The symmetric difference of sets A and B is given by A△B=(A−B)∪(B−A). Now, we have A- B = {1,2,3} - {3, 4, 5} = {1, 2}, B- A = {3, 4, 5} - {1,2,3} = {4,5} ∴A△B={1,2}∪{4,5}={1,2,4,5}

The correct option is B
{1,2,4,5}

Here,

A = {1,2,3} and B = {3,4,5}.

The symmetric difference of sets A and B is given by

$A △ B = (A - B) \cup (B - A) .$

Now, we have

A- B = {1,2,3} - {3, 4, 5} = {1, 2},
B- A = {3, 4, 5} - {1,2,3} = {4,5}

$∴ A △ B = {1, 2} \cup {4, 5} = {1, 2, 4, 5}$