3. Multiples B Use the Venn Diagram on the right, with 6 12 8 14 10 2 4 39 U = numbers from 1 to 15 15 A = multiples of 2, B = multiples of 3, C = multiples of ? 1 7 11 13 a. Guess my rule: set C shows multiples of b. What kinds of numbers are in An B? Describe them in words. c. Find the elements of An B. d. Find a number that could go into the intersection of all three sets, An BnC, if we allowed set U to be larger. (This is the Least Common Multiple.) e. What kinds of numbers are in BU C? Describe them in words. f. Find the elements of BUC.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section11.6: The Pythagorean Theorem
Problem 2CE
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3. Multiples
A
Use the Venn Diagram on the right, with
6 12
2 4
3 9
8 14
U = numbers from 1 to 15
10
15
A = multiples of 2, B = multiples of 3,
C = multiples of ?
1 7
C
11 13
a. Guess my rule: set C shows multiples of.
b. What kinds of numbers are in A B? Describe them in words.
c. Find the elements of An B.
d. Find a number that could go into the intersection of all three sets, A Bn C,
if we allowed set U to be larger. (This is the Least Common Multiple.)
e. What kinds of numbers are in BU C? Describe them in words.
f. Find the elements of BUC.
Transcribed Image Text:3. Multiples A Use the Venn Diagram on the right, with 6 12 2 4 3 9 8 14 U = numbers from 1 to 15 10 15 A = multiples of 2, B = multiples of 3, C = multiples of ? 1 7 C 11 13 a. Guess my rule: set C shows multiples of. b. What kinds of numbers are in A B? Describe them in words. c. Find the elements of An B. d. Find a number that could go into the intersection of all three sets, A Bn C, if we allowed set U to be larger. (This is the Least Common Multiple.) e. What kinds of numbers are in BU C? Describe them in words. f. Find the elements of BUC.
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