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Review: Nicole makes jewellery. She is trying to decide whether she should offer a package deal to customers who buy both a necklace and earrings. She observes the next 100 customers who enter the store.
47 buy a necklace.40 buy earrings.32 do not buy anything
Draw a twocircle Venn diagram with the information. What percent of Nicole's 100 customers might use a package deal? Use the set notation formula in your answer.
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Set Difference
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Set theory is used for solving many types of problems, including Internet searches, database queries, data analyses, games, and puzzles.
To represent three intersecting sets with a Venn diagram, use three intersecting circles. For example, in the following diagram:
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Each region in a Venn diagram contains elements that occur only in that particular region.
A B
C
de f
hg i
j
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Example: Diane was asked to solve the following problem:85 people were surveyed to find which restaurant they like. How many people do not like any of these restaurants?
29 like Domino's40 like Pizza Hut38 like Little Ceasars5 like Domino's & Little Ceasars, but not Pizza Hut6 like Domino's & Pizza Hut, but not Little Ceasars10 like Little Ceasars & Pizza Hut, but not Domino's8 like all three restaurants
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Example: Children play video games, board games, and card games for fun. The following Venn diagram shows the types of games children enjoy:
V B
C
235 7
23 1
6
G
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Example: A total of 62 students are in at least one of the following three courses: math, physics, and chemistry.
20 are in math, 33 in physics, and 26 are in chemistry.4 are in math and physics, but not chemistry.1 is in math and chemistry, but not physics.2 are in chemistry and physics, but not math.
How many students are in all three courses?
M P
C
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Searching on the Internet:Emmy and Isaac are planning a cruise vacation to the Caribbean and plan to use the internet to gather information. Give four words or phrases thatmight be useful in their search for relevant information. Use set theory to explain how quotation marks and the word “and” could help them refine their search ‐ provide examples.
Text: page 191‐193 #2,4,6,8,9
