The set of all integers under addition is

The set of all integers under addition is

Question
Algebra foundations
asked 2020-11-24
The set of all integers under addition is

Answers (1)

2020-11-25
A group. You can confirm this by checking the group axioms with the inverse being the negative counterpart of the original integer, and the identity element being zero.
0

Relevant Questions

asked 2021-01-15
how many solutions does the equation \(\displaystyle{x}{1}+{x}{2}+{x}{3}={13}\) have where x1,x2,and x3 are non negative integers less than 6
asked 2020-11-26
A triangle har a perimetr of 239cm. If the 2nd side is thrice the length of the 1st side and the 3rd side is 6 less than the 2nd side. Find the length of all sides. 1st side =
asked 2021-03-07
The set of whole numbers and their opposites
O Positive integer
O Ratio
O Absolute value
O Integer
asked 2020-11-26
Airlines schedule about 5.5 hours of flying time for an A320 Airbus to fly from Dulles International Airport near Washington, D.C., to Los Angeles International Airport. Airlines schedule about 4.5 hours of flying time for the reverse direction. The distance between these airports is about 2,300 miles. They allow about 0.4 hour for takeoff and landing.
a. From this information, estimate (to the nearest 5 mph) the average wind speed the airlines assume in making their schedule.
b. What average airplane speed (to the nearest 5 mph) do the airlines assume in making their schedule?
asked 2021-01-08
Which of these are propositions? What are the truth values of those that are propositions? a) Do not pass go. b) What time is it? c) There are no black flies in Maine. d) 4 + x = 5. e) The moon is made of green cheese. f) \(\displaystyle{2}≥{100}\). g) Kochi is the capital of Kerala state. h) 2 + 3 = 5. i) 5 + 7 = 10. j) Answer this question.
asked 2021-02-18
A gondola on an amusement park ride, similar to the Spin Cycle at Silverwood Theme Park, spins at a speed of 13 revolutions per minute. If the gondola is 25 feet from the ride's center, what is the linear speed of the gondola in miles per hour?
asked 2021-01-19
A bicycle with tires of radius r=15 inches is being ridden by a boy at a constant speed - the tires are making five rotations per second. How many miles will he ride in minutes? (1mi = 5280 ft)
asked 2020-12-28
7-59. Markups A new 2016 Honda Accord has a list price | of $25,965. Suppose that the dealer mark-up on this car is 9.3%. What is the dealer’s cost?
asked 2021-03-02
The cost in dollars to produce x youth baseball caps is C(x) = 4.3x + 75. The revenue in dollars from sales of x caps is \(\displaystyle{R}{\left({x}\right)}={25}{x}\).
(a) Write and simplify a function P that gives profit in terms of x.
(b) Find the profit if 50 caps are produced and sold.
asked 2020-12-25
with total expenses of $6,390 and take-home pay of $7,450, how much money is left for savings?
...