Enrich - Southgate Schools

Multi-Part
Lesson
1
PART
C
NAME ________________________________________ DATE _____________ PERIOD _____
Enrich
Intersection and Union of Sets
The darker shaded areas in the Venn diagrams show the union and
intersection of sets A and B.
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For example, if A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, then their union and
intersection are written as:
Union: A ∪ B = {1, 2, 3, 4, 5, 6}
Intersection: A ∩ B = {3, 4}
Draw a Venn diagram for sets A and B. Then write the numbers
included in A ∪ B and A ∩ B. In Exercises 2 and 4, record the
numbers as decimals.
1. A = {integers between 0 and 7}
B = {factors of 12}
" Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
A ∪ B = {1, 2, 3, 4, 5, 6, 12}
A ∩ B = {1, 2, 3, 4, 6}
2. A = {one-place decimals between 0 and 0.5}
B = {fractions with 1, 2, 3, or 4 as numerator
and 5 as a denominator}
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A ∪ B = {0.1, 0.2, 0.3, 0.4, 0.6, 0.8}
A ∩ B = {0.2, 0.4}
3. A = {perfect squares between 0 and 30}
B = {odd whole numbers less than 10}
A ∪ B = {1, 3, 4, 5, 7, 9, 16, 25}
A ∩ B = {1, 9}
{
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1 1 1 1
4. A = −
, −, −, −
2 3 4 5
− − − − − − − − −
B = {0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9}
−
−
A ∪ B = {0.1, 0.2, 0.2, 0.25,
− −
− − −
0.3, 0.4, 0.5, 0.5, 0.6, 0.7,
− −
0.8, 0.9}
−
A ∩ B = {0.3}
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Course 2 • Rational Numbers
012_024_NACRMC2C03_895160.indd 23
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11/25/09 11:05:30 AM