the left column below gives a proof that the product of two odd integers is odd. match the steps of the proof on the left with the justifications for those steps on the right. 1. let a and b be any two odd integers. (we wish to show that ab is also an odd integer.) 1. let a and b be any two odd integers. (we wish to show that ab is also an odd integer.) drop zone empty. 2. there are two integers m and n such that a

Answers

Answer 1

An odd integer can be expressed in the form 2m + 1 for some integer m according to the definition of an odd integer. We must demonstrate that ab may be expressed in the form 2k + 1 for some integer k

How can the oddness of the product of two odd numbers be established?

An odd number is the result of two odd numbers. Let the integers m and k vary. As a result, the numbers 2m+1 and 2k+1 are odd. An odd number, 2 (2mk + m + k) + 1, is obtained.

For two integers m and n, a = 2m + 1 and b = 2n + 1, respectively. (According to what an odd integer is)

4mn + 2m + 2n + 1 is equal to ab = (2m + 1)(2n + 1). (Product expansion)

ab equals (2mn + m + n) + 1. (Factoring out a 2)

Ab is an odd integer since 2mn + m + n is an integer. (According to what an odd integer is)

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Related Questions

Who was the first Indian to find America?

Answers

Answer:

Perhaps as far back as 20,000 years or more. But the science on this is far from settled. So for now, the Clovis and the Pre-Clovis peoples, long disappeared but still existent in the genetic code of nearly all native Americans, deserve the credit for discovering America.

Answer:

Clovis people

Explanation:

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A _____ is relatively inexpensive to install and is well-suited to workgroups and users who are not anchored to a specific desk or location.​​O wireless local area network (WLAN)O ​The Basic Service Set (BSS)O ​System architectureO ​local area network (LAN)

Answers

Answer:

WLAN

Explanation:

wireless local area network (WLAN) is relatively inexpensive to install and is well-suited to workgroups and users who are not anchored to a specific desk or location.

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