2.1.6 - Venn Diagrams
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Practice Questions
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What does a Venn diagram represent?
💡 Hint: Think about how sets interact.
In a Venn diagram, what does the intersection of two sets show?
💡 Hint: Look for common areas in the circles.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the union of two sets A and B represent?
💡 Hint: Think of it as an inclusive 'or'.
True or False: The complement of set A includes elements that are not in set A.
💡 Hint: Recall the definition of complement.
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Challenge Problems
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Three friends are surveyed about their hobbies. Friend A likes reading and swimming, Friend B likes swimming and gaming, and Friend C likes gaming and reading. Represent these hobbies in a Venn diagram and calculate the number of unique hobbies if 2 love swimming.
💡 Hint: Identify shared hobbies carefully.
In a class of 30 students, 12 like math, 18 like science, and 6 like both. How many students like either math or science, and how many don’t like either subject?
💡 Hint: Remember to consider overlaps in your calculations.
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