## Related questions with answers

A subset of a set is, roughly, a set inside the set. Precisely, a set A is a subset of set B, denoted A $\subseteq$ B, if and only if every element of A is also an element of B. Consider the set N = {2, 4, 5, 6, 8, 11}.

a. Is {5, 2} a subset of N? Why or why not?

b. Is {4, 6, 8, 10} $\subseteq$ N? Why or why not?

c. Write two other subsets of N.

d. Is {2, 4, 5, 6, 8, 11} a subset of N? Justify your answer by using the definition of a subset.

e. In a search for used Chevrolet trucks on the Internet, think about three possible search sets:

- T = {x | x is a Web page containing the word truck}
- U = {x | x is a Web page containing the phrase "used truck"}
- C = {x | x is a Web page containing the word Chevrolet}

Which of these sets is a subset of one of the other sets? Draw a Venn diagram that shows the relationships among these three sets.

Solution

Verifieda.)

Yes, $\{5,2\}$ is a subset of $N$ because $5$ and $2$ are also elements of $N$.

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