List of Exercises With Anserws - Part I

Chapter 1



Section 1.9

1) Given the set A = {3, 5, 7, 9, 12, 13}, what statement is true? (Choose an alternative only)



2) Since A = {3, 4, 6, 8} and B = {8, 6, 4, 3}, we can assert that: (Check the correct alternative)

A) The sets are different because the order of the elements in sets A and B does not matter.
B) The sets are different because they import the order of the elements in sets A and B.
C) The sets are equal, because no matter the order of the elements in sets A and B.
D) The sets are equal, because the order of the elements in sets A and B matters.

3) We have the following notations below:

I. A = {1, 2, 3}
II. B = {A, B, C, D}
III. c = {8,9,10}
IV. D = {apple, pear, grape}

Which notations are correct:

A) I and II
B) II and III
C) II and IV
D) I and III
E) I and IV

4) We have two sets, A = {a, f, g, j} and B = {a, f, g, j, p, q}. Mark the true statement below:



5) Mark the correct statement:

A) The set A = {air, earth, water, fire} is finite.
B) The set B = {1, 2, 3, 4, 5, 6 ...} is finite.
C) The set C = {orange, peach, strawberry} is infinite.
D) C set D = {-8, -7, -6, -5, -4, -3, -2, ...} is finite.

6) Given the set P = {x | X is odd, for x2 = 16}. The representation by extension of the sets P would be:



7) Given the sets M = {3, 5, 6, 7, 8} and N = {5, 7, 8}, represent them by Venn Diagram.

8) Which statement below is correct?

A) If A is contained in B, and C is contained in B, sets A and C are necessarily equal.
B) If A is contained in C, and B is not contained in A, set B is necessarily empty.
C) If B and C are contained in A, sets B and C need not necessarily be equal.
D) If B and C are not contained in A, set B is necessarily empty and C is non-empty.

9) Given the following Venn Diagram.



Classify statements as true (V) or false (F)

A) A is contained in B
B) A does not contain B
C) B is a subset of A
D) B is contained in A.

10) Given the following Venn Diagram.



Represent the set S by extension.



Answers:

1) C
2) C
3) and
4) B
5) A
6) A

7)



8) C
9) A) F
B) F
C) V
D) V
10) S = {a, b, e, p, t}



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