Suppose that the product of two natural numbers is odd. A whole number a is even if and only if there is a whole number k such that a = 2k. A whole number is odd if and only if there is a whole number j such that b = 2j + 1. Use these representations to explain why both factors must be odd. First, identify all the information that is known or given. Check all that apply. O A. Every odd number can be written in the form 2j + 1 where j is any whole number. O B. Every even number can be written in the form 2k where k is any whole number. O c. The product of the two natural numbers is even.

Suppose that the product of two natural numbers is odd. A whole number a is even if and only if there is a whole number k such that a = 2k. A whole number is odd if and only if there is a whole number j such that b = 2j + 1. Use these representations to explain why both factors must be odd. First, identify all the information that is known or given. Check all that apply. O A. Every odd number can be written in the form 2j + 1 where j is any whole number. O B. Every even number can be written in the form 2k where k is any whole number. O c. The product of the two natural numbers is even.

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,...

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Question

Suppose that the product of two natural numbers is odd. A whole number a is even if and only if there is a whole number k such that a = 2k. A whole number b
is odd if and only if there is a whole number j such that b = 2j + 1. Use these representations to explain why both factors must be odd.
First, identify all the information that is known or given. Check all that apply.
O A. Every odd number can be written in the form 2j + 1 where j is any whole number.
O B. Every even number can be written in the form 2k where k is any whole number.
O c. The product of the two natural numbers is even.

D. At least one natural number is odd.
E. At least one natural number is even.
F. The product of the two natural numbers is odd.
| G. Both natural numbers are odd.
H. Both natural numbers are even.

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