Practice with Sets Topic Index | Algebra Index | Regents Exam Prep Center

(Note:  Several different notations for "complement of a set" are being used in this practice set so that you will have the opportunity to become familiar with differing notational forms.)

1.

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {2, 4, 6, 8, 10}
B = {1,2,3,4,5,6}

Find:

2.

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 3, 5, 7, 9}
B = {2, 4, 6, 8, 10}

Find:

 Answer U - the universal set for this problem. Answer { } - the empty set Answer U - the universal set Answer { } - the empty set

3.

U = {-5, -3, -1, 0, 1, 3, 5}
A = {0, 1, 3, 5}
B = {-5, -3, -1, 0}

Find:

4.

U = {positive even integers}
A = {2, 4, 8, 16}
B = {6, 8, 10, 12, 14, 16}

Find:

5.

U = {10, 20, 30, 40, 50, 60}
A = {10}
B = {10, 40, 60}

Find:

 6. Given: Set A = {(-2,-1), (-1,0), (1,8)} Set B = {(-3,-4), (-2,-1), (-1,2), (1,8)}. What is the intersection of sets A and B? Choose: {(1,8)} {(-2,-1)} {(-2,-1), (1,8)} {(-3,-4), (-2,-1), (-1,2), (-1,0), (1,8)}

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