Concept explainers
Find each union or intersection. Let A={1,3,5,7,9},B={x∣x is a positive. odd integer less than 10},C={1,2,4,7}, and D={x∣x is a negative integer between −5 and −1}.
A∩B
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To find: the set A∩B .
Answer to Problem 7P
A∩B={1,3,5,7,9}
Explanation of Solution
Given information:
Three sets are given as
A={1,3,5,7,9},B={x|x is a positive odd integer less than 10}C={1,2,4,7},D={x|x is a negative integer between −5 and −1}
Formula used:
For any two or more sets, union of the sets gives the elements which are in the either one of the sets and the all elements of all sets. Common elements are considered once. Union is represented by the symbol ∪ .
For any two or more sets, intersection of the sets gives the elements which are the only common elements of the sets. Intersection is represented by the symbol ∩ .
Calculation:
Consider the given sets.
A={1,3,5,7,9}
and
Now, the set B can be written as
B={x|x is a positive odd integer less than 10}
Now, A∩B contains common elements of A and B .
A∩B={1,3,5,7,9}∩{1,3,5,7,9}={1,3,5,7,9}
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ALGEBRA 1:COMMON CORE
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