   Chapter 2.3, Problem 17E

Chapter
Section
Textbook Problem

17. If a ,   b and c are integers such that a | b and a | c , then a | ( b + c ) .

To determine

To prove: If a,b and c are integers such that a|b and a|c, then a|(b+c).

Explanation

Given information:

a,b, and c are integers such that a|b and a|c.

Formula used:

Divisor:

Let a,b be any integers, a is divisor of b, write as a|b if there is an integer c, such that b=ac.

Proof:

Let a,b, and c are integers such that a|b and a|c

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Convert the expressions in Exercises 8596 radical form. (x1/2y1/3)1/5

Finite Mathematics and Applied Calculus (MindTap Course List)

44. Find the sum of the first 200 terms of the arithmetic sequence 12, 9, 6, . . . .

Mathematical Applications for the Management, Life, and Social Sciences

In the figure, mABC=63 and mABD=39. Find mDBC.

Elementary Geometry For College Students, 7e

True or False: converges.

Study Guide for Stewart's Multivariable Calculus, 8th

limxx2+13x+2= a) 0 b) 1 c) 13 d) does not exist

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 