Concept explainers
a)
To find:
The set of
Answer to Problem 1BMO
Solution:
The set of
Explanation of Solution
Given:
The elements of a universal set
Calculation:
Write the equation of the given sets.
Substitute
Therefore, the set of
Conclusion:
Hence, the set of
b)
To find:
The set of
Answer to Problem 1BMO
Solution:
The set of
Explanation of Solution
Calculation:
Write the equation of the given sets.
Substitute
Therefore, the set of
Conclusion:
Hence, the set of
c)
To find:
The set of
Answer to Problem 1BMO
Solution:
The set of
Explanation of Solution
Approach:
The formula used to calculate the complement of
Here,
Calculation:
Substitute
Therefore, the set of
Conclusion:
Hence, the set of
Want to see more full solutions like this?
Chapter 6 Solutions
Finite Mathematics for the Managerial, Life, and Social Sciences
- Prove or disprove that AB=AC implies B=C.arrow_forwardFor the sets given in Exercise 9, is there a distributive relationship for intersection with respect to union? That is, does ABC=ABAC? A=1,2,3,4, B=2,4,6,8, and C=1,3,5,7,9.arrow_forward11. (See Exercise 10.) According to Definition 5.29, is defined in by if and only if . Show that if and only if . 10. An ordered field is an ordered integral domain that is also a field. In the quotient field of an ordered integral domain define by . Prove that is a set of positive elements for and hence, that is an ordered field. Definition 5.29 Greater than Let be an ordered integral domain with as the set of positive elements. The relation greater than, denoted by is defined on elements and of by if and only if . The symbol is read “greater than.” Similarly, is read “less than.” We define if and only if. As direct consequences of the definition, we have if and only if and if and only if . The three properties of in definition 5.28 translate at once into the following properties of in . If and then . If and then . For each one and only one of the following statements is true: . The other basic properties of are stated in the next theorem. We prove the first two and leave the proofs of the others as exercises.arrow_forward
- Elements Of Modern AlgebraAlgebraISBN:9781285463230Author:Gilbert, Linda, JimmiePublisher:Cengage Learning,Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,