Need HELP with Math please! Need Help with Part A, B, and C. Math Cless.pdt Math

Question

Need HELP with Math please! Need Help with Part A, B, and C.

Math Cless.pdt Math Class.pdf 7 17 12. Answer the following: [3 points] Give an example of an infinite set S and a subset A of S. What is the complement of A in S a. b. [3 points] Give an example of a finite set S and a subset A of S. What is the complement of A in S? [4 points] For your answer in part (b) of this problem, what is the cardinality of S? What is the cardinality of A? What is the cardinality of the complement of A in S? c. 3:06 PM Type here to search ^dx 10/22/2017

Explanation / Answer

a. An example of infinite set S is the set of all integers Z

Z = {......, -3,-2,-1,0,1,2,3, ........}

A is the set of all positive integers N.

N = {1,2,3,4......}

N Z => A S.

The complement of A is A' = Z - N.

This is the set of non-positive integers

A' = {......,-3,-2,-1,0}

b. S = {1,2,3,4,5}

A = {1,2,4}

The complement of A in S is

A' = {3,5}

c. Since S has five elements, |S| = 5.

Since A has three elements, |A| = 3.

|A'| = 5 - 3 = 2.

Related Questions

Navigate

• Browse (All)
• Browse N
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.