# The Sets (Math Problem Sample)

Writing down the elements of the sets U, A and B.

source..Quiz 2

1 Write down the elements of the sets U, A and B. Write in set notation:

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U means universal set. The set containing all objects or elements and of which all other sets are subsets. These elements are1, 2, 3, 4, 5, 6, 7, 8, 9,10. In set notation

U=1, 2, 3, 4, 5, 6, 7, 8, 9,10

A means set A. The set containing all objects in set A. These elements are1, 3, 5, 7, 9. In set notation

A=1,3,5, 7,9

B means set B. The set containing all objects in set B. These elements are6,7,8, 9,10. In set notation

B={6,7,8, 9,10}

2 Draw a venn diagram given the sets:

U=1, 2, 3, 4, 5, 6, 7, 8, 9

A=3, 6, 9

B={2, 6}

Elements in set A only are 3 and 9. In set notation A={ 3,9}

Elements in set B only is 2. In set notation B={2}

Elements both in set A and set B is 6. In set notation AnB={ 6}

Elements not in both in set A and set B is 1, 4,5,7,8. In set notation (AUB)'={1,4,5,7,8}

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3 Write the elements in the setxx∈N, 1≤x≤5.

Here x lie between 1 and 5 and 1 belongs to N and 5 belongs to N.

Thus the elements of this set is: 2,3,4,5

In set notation N={1,2, 3, 4,5}

4 Write the set in roster notation: A=the set of positive whole numbers and x<5

Whole numbers less than 5 are 0, 1,2,3,4

Hence in roster notation: A={0,1,2,3,4}

5 Write the subsets of the set: A=2, 3, 9

Subset of a Set. A subset is a set whose elements are all members of another set

Hence, subsets of A=2, 3, 9 are{ },2,3,9,2, 3, 2, 9, 3, 9, 2, 3, 9

6 Identify the sets intersection: Write in set notation and identify the set name.

A=1, 2, 3, 4, 5, 6, 7, 8, 9, 10

B={1, 3, 5, 7, 9, 11, 13, 15, 17, 19}

The intersection elements are found in both set A and B, they are 1, 3,5,7,9

Hence AnB={1, 3, 5, 7, 9}

7 Identify

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