1. A is a well defined collection of 2. objects called 3. If A and B are sets, then B C A iff In tho at houo 4. jg o of R mon

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1. A
is a well defined collection of
2. objects called
3. If A and B are sets, then BCA iff
4. In the statement above,A is a
of B.
5. The
is a subset of every set.
6. The set containing all the subsets of a set A is called the
of A.
7. In symbols,it is represented by
8. If G
{x € U\p(x)} where p(x) is some condition to be followed by elements of U, then G is said to
be in
form of writing elements of a set.
9. Two sets are
if and only if there exists one to one correspondence between their elements.
10. If U is a universe of discourse, and p(æ) is a declarative statement on variable x, then p(x) is called a
proposition over U if p(a)
for all a E U.
11. The truth set T of the proposition over U above is defined as
12. If U is a universe of discourse and Ø + T, CU,the p(x) is a
13. Let U be a universe of discourse,then the statement: w : Vx EU them p(x), then w is true if and only
if
14. Suppose U = R. let p(x) : x2 – 2x – 15 < 17, then the statement u : 3p(x) is
false).
(true or
15. The full name of our teacher our school president is
Transcribed Image Text:1. A is a well defined collection of 2. objects called 3. If A and B are sets, then BCA iff 4. In the statement above,A is a of B. 5. The is a subset of every set. 6. The set containing all the subsets of a set A is called the of A. 7. In symbols,it is represented by 8. If G {x € U\p(x)} where p(x) is some condition to be followed by elements of U, then G is said to be in form of writing elements of a set. 9. Two sets are if and only if there exists one to one correspondence between their elements. 10. If U is a universe of discourse, and p(æ) is a declarative statement on variable x, then p(x) is called a proposition over U if p(a) for all a E U. 11. The truth set T of the proposition over U above is defined as 12. If U is a universe of discourse and Ø + T, CU,the p(x) is a 13. Let U be a universe of discourse,then the statement: w : Vx EU them p(x), then w is true if and only if 14. Suppose U = R. let p(x) : x2 – 2x – 15 < 17, then the statement u : 3p(x) is false). (true or 15. The full name of our teacher our school president is
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