text: 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
explanation: The document contains a math question and its answer. The question asks to find the Cartesian product \( A \times (B \cup C) \) given the sets \( A \times B \), \( B \times C \), and \( A \times C \). The answer is provided, showing the step-by-step solution and the correct option.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: 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
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question and its answer. The question asks to find the Cartesian product \( A \times (B \cup C) \) given the sets \( A \times B \), \( B \times C \), and \( A \times C \). The answer is provided, showing the step-by-step solution and the correct option.
  
  Label: question-and-answer