Test Index

Sets, Relations and Functions

Question : 37 of 65

Marks: +1, -0

A=\{4,5\}, B=\{2,3\}, C=\{5,6\}

A X(B \cup C)

Solution:

Concept:

Cartesian product of two sets consists of all ordered pairs where the first element comes from the first set and the second from the second set.

Explanation:

Given

A = \{4,5\}

B = \{2,3\}

C = \{5,6\}

First, find

B \cup C = \{2,3,5,6\}

Then

A \times (B \cup C)

is the set of all ordered pairs

(a,b)

with

a \in A

and

b \in B \cup C

Pairs:

(4,2), (4,3), (4,5), (4,6), (5,2), (5,3), (5,5), (5,6)

None of the given options A, B, or C match this set.

Answer:

Option D: None

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