Q

Give answer! If AxB = {3,2}, BxC = {1,4} and AxC = {1,3}, then find A x (B U C) = ?

If AxB = {3,2}, BxC = {1,4} and AxC = {1,3}, then find A x (B U C) = ?

• Option 1)

{1,4,3}

• Option 2)

{2,1,3}

• Option 3)

{3}

• Option 4)

{1,2,3,4}

102 Views

As we have learnt,

Theorem of Cartesian Product -

$AX(B U C)=(AXB)U(AXC)$

-

$A \times (B\cup C) = (A\times B) \cup (A\times C) = \{3,2\}\cup\{1,3\} = \{1,2,3\}$

Option 1)

{1,4,3}

Option 2)

{2,1,3}

Option 3)

{3}

Option 4)

{1,2,3,4}

Exams
Articles
Questions
The text passage contains a mathematical question related to Cartesian products and set theory, and it provides an answer to the question.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
Q

Give answer! If AxB = {3,2}, BxC = {1,4} and AxC = {1,3}, then find A x (B U C) = ?

If AxB = {3,2}, BxC = {1,4} and AxC = {1,3}, then find A x (B U C) = ?

• Option 1)

{1,4,3}

• Option 2)

{2,1,3}

• Option 3)

{3}

• Option 4)

{1,2,3,4}

102 Views

As we have learnt,

Theorem of Cartesian Product -

$AX(B U C)=(AXB)U(AXC)$

-

$A \times (B\cup C) = (A\times B) \cup (A\times C) = \{3,2\}\cup\{1,3\} = \{1,2,3\}$

Option 1)

{1,4,3}

Option 2)

{2,1,3}

Option 3)

{3}

Option 4)

{1,2,3,4}

Exams
Articles
Questions
user
The text passage contains a mathematical question related to Cartesian products and set theory, and it provides an answer to the question.

TYPE: SINGLE_QUESTION_WITH_ANSWER