MHB Having difficulty finding the elements in each set

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The discussion focuses on set operations involving the universal set U and subsets A, B, C, and D. Participants clarify the meanings of intersection, difference, and union in set theory, providing examples with specific elements. For instance, C intersect D results in the set {2}, while C minus D yields {1, 5, 6}. The conversation emphasizes understanding these operations to solve the given problems effectively. Overall, the thread aims to assist users in mastering set operations and overcoming difficulties in identifying elements within the specified sets.
chelseajjc95
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Find the elements in each set given that:

U={1,2,3,4,5,6,7}
A={1,3,5,7}
B={2,4,6}
C={1,2,5,6}
D={2,3,4}

A) C intersect D B) C-D C) (A union B) union C D) (C union A)' -D
 
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Where do the difficulties lie? Do you know what X intersect Y means, for example?
 
[math]X\cap Y[/math], "X intersect Y", means "all things that are in both set X and set Y". Here you are given that C= {1, 2, 5, 6} and D= {2, 3, 4}. "1" is in C but not in D so is NOT in [math]C\cap D[/math]. "2" is in both C and D so is in [math]C\cap D[/math]. "5" is in C but not in D so in NOT in [math]C\cap D[/math]. "6" is in C but not in D so NOT in [math]C\cap D[/math]. We don't need to consider either "3" or "4" since they are not in C. [math]C\cap D= \{1, 2, 5, 6\}\cap \{2, 3, 4\}= \{2\}[/math].

"X- Y" is defined as "all things that are in X but NOT in Y". "1", "5", and "6" are in C but not in D so [math]C- D= \{1, 5, 6\}[/math].

Now try the others. How are "X union Y" and "X' " defined?
 

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