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Is An Empty Set.: Let X 6 + y Let y X - 6

The document provides examples and problems involving set operations such as unions, intersections, and complements. It asks the reader to find unions, intersections, and complements of various sets.

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Angelina Boniog
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1K views2 pages

Is An Empty Set.: Let X 6 + y Let y X - 6

The document provides examples and problems involving set operations such as unions, intersections, and complements. It asks the reader to find unions, intersections, and complements of various sets.

Uploaded by

Angelina Boniog
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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I. Directions: Do as indicated.

1. Tell whether the following is true or false;


1. Empty set is also called a unit set. FALSE
2. {Ø} is an empty set. FALSE
3. A set with two elements has 2 subsets. FALSE
4. Equivalent set is also an equal set. FALSE
5. Counting number is an example of a finite set. FALSE

2. List down all the subsets of a set


A = {a, b, c, d}.
{a} ; {b} ; {c} ; {d}
{a, b, c, d} ; {a, b, c} ; {a, b, d} ; {a, c, d} ; {a, b} ; {a, c} ;
{a, d}
{b, c, d} ; {b, c} ; {b, d}
{c, d} ; { }

3. If A = {1, 2, 3} and B = {i, o, u}, find A x B.


A x B = {1, i} ; {1, o} ; {1, u} ; {2, i} ; {2, o} ; {2, u} ;
{3, i}, {3, o} ; {3, u}

4. Find x and y if (x-y, x+y) = (6, 10)


Let x = 6 + y ; Let y = x - 6
(x – y = 6) – (x + y = 10) x=6+y
(-2 y) = (6 - 10) x=6+2
-2y = -4 x=8
−2 y −4
=
−2 −2
y=2

5. Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} ; A = {1, 3, 5, 7}, B = {2, 4, 6, 8} and


C = {3, 6, 9, 0}. Find the following.

a. A U B
A = {1, 3, 5, 7}, B = {2, 4, 6, 8}
A U B = {1, 2, 3, 4, 5, 6, 7, 8}

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b. B Ո C
B = {2, 4, 6, 8}, C = {3, 6, 9, 0}
B Ո C = {6}

c. A’ Ո B’
U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
A’ = {0, 2, 4, 6, 8, 9}
B’ = {0, 1, 3, 5, 7, 9}
A’ Ո B’ = {0, 9}

d. (A U B)’
A U B = {1, 2, 3, 4, 5, 6, 7, 8}
U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
(A U B)’ = {0, 9}

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