Answer To: Homework 1 1) Give 4 examples of established sets of numbers used in Mathematics (integers for...
Rajeswari answered on Sep 11 2021
Homework 1
1) Give 4 examples of established sets of numbers used in Mathematics (integers for example). Describe each set and give examples. Label each set and describe the relationship between using either subset notation or a Venn diagram.
R = set of real numbers (includes rational, irrational numbers)
Q = Set of rational numbers ( numbers of the form p/q where p and q are integers and q ≠0)
2) Create a universe of elements (use numbers, letters or anything else) and sets A, B, C and D out of the elements in your universe (have your sets overlap, otherwise they won’t be very interesting to operate on). Perform the following set operations:
Let us say U = {1,2,3,4,5,6,7,8,9,10,11,12}
A = {1,3,5,7,9,11}
B = {2,5,7,11}
C = {3,6,9,12}
D= {2,4,6,8,10,12}
a. A’ = U-A = {2,4,6,8,10}
b. A U B = {1,2,3,5,7,9,11}
c. B ∩ C = common to both = {} (null...