Determine if the following sets are closed under multiplication. a. (1,18) b. {2k + 9|keW} c. (9*|keW} a. Is {1,18} closed under multiplication? O No O Yes b. Is {2k +9 keW} closed under multiplication? O No O Yes c. Is (9**' |keW} closed under multiplication? O Yes O No

Determine if the following sets are closed under multiplication. a. (1,18) b. {2k + 9|keW} c. (9*|keW} a. Is {1,18} closed under multiplication? O No O Yes b. Is {2k +9 keW} closed under multiplication? O No O Yes c. Is (9**' |keW} closed under multiplication? O Yes O No

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

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,...

See similar textbooks

Similar questions

Suppose that a1, a2, a3, a4, a5 are five numbers. 5 If -7 then (2a + 3) is equal to... k=1 k=1
The answer is C but how I can get there
6. Let a be a number written in base 10 as x = ao + a110 +..a, 10" where 0 < a; < 10. (a) Prove that 2 divides a if and only if 2 divides ao. (b) Prove that 4 divides a if and only if 4 divides ao +2a1. (c) Prove that 8 divides a if and only if 8 divides ao + 2a1 + 4a2. (d) Prove that 5 divides a if and only if 5 divides ao. (e) Prove that 9 divides a if and only if 9 divides the sum ao + ..an of its digits. (f) Prove that 3 divides a if and only if 3 divides the sum ao + ...an of its digits. (g) Prove that 11 divides a if and only if 11 divides the alternating sum ao – a1 + az · (h) Come up with a rule for dividing by 7 and prove that it works.
6. If x is any positive integer, which one of the following terms could be added to the sum of 2x + 3x + 4x + 6x so that the new sum would be divisible by 7? (A) 3x (B) 4x (C) 5x (D) 6x (E) 7x
-15 What are all the restrictions for -+9 -127 A **-4, x 5,x*3 C. **-4,x 3 D.
3) Find the number of positive integers ≤ 1000 that are not divisible by 5, 13, or 31?
If each of a, b and c is positive and a + b + c = 6, then show that 75 (a + b )² + (0 + ²)² + (0 + 1)² = ²/ -.
Find the number of subsets of the set (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} having 4 elements. * 340 430 330 440
Consider the list of numbers: 2n-1, where n first equals 2, then 3, 4, 5,6,…What is the smallest value of n for which 2n -1 is not a prime number. Show all your work.
Arlal 14 4. | 5. .|.6.I| 7. | 8 | 9 1 | .. Real Numbers Rational Numbers Irrational Numbers V14 -25 72/9 6.5 Integers V81 Whole Numbers 7/3 V53 Natural 2/3 5.4 Numbers -88 44 i 21/6
How many natural number that are less or equal to 1000 and that are not multiplea of 3,5or7 exist
How many elements does the power set of {2, 3, 4, 5} have? Write down four of the elements.