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If 'A' represents people who like coffee and 'B' represents people who like tea,

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Question: If \'A\' represents people who like coffee and \'B\' represents people who like tea, what does the area outside both circles represent?

Options:

  1. People who like both
  2. People who like neither
  3. People who like only coffee
  4. People who like only tea

Correct Answer: People who like neither

Solution:

The area outside both circles represents people who do not like either coffee or tea.

If 'A' represents people who like coffee and 'B' represents people who like tea,

Practice Questions

Q1
If 'A' represents people who like coffee and 'B' represents people who like tea, what does the area outside both circles represent?
  1. People who like both
  2. People who like neither
  3. People who like only coffee
  4. People who like only tea

Questions & Step-by-Step Solutions

If 'A' represents people who like coffee and 'B' represents people who like tea, what does the area outside both circles represent?
  • Step 1: Understand that 'A' is a circle representing people who like coffee.
  • Step 2: Understand that 'B' is a circle representing people who like tea.
  • Step 3: Recognize that the area inside circle 'A' includes only coffee lovers.
  • Step 4: Recognize that the area inside circle 'B' includes only tea lovers.
  • Step 5: Identify that the area where both circles overlap includes people who like both coffee and tea.
  • Step 6: Finally, the area outside both circles represents people who do not like coffee and do not like tea.
  • Set Theory – Understanding the representation of groups and their relationships using Venn diagrams.
  • Complement of Sets – Identifying elements that are not included in the defined sets.
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