jackieb7178 jackieb7178
  • 04-07-2019
  • Mathematics
contestada

Prove that n is odd if and only if 3n + 6 is odd by contradiction.

Respuesta :

Dlalex2316 Dlalex2316
  • 05-07-2019

Step-by-step explanation:

o - odd number

e - even number

n + e =o, if n is odd...rule 1

n + e = e, if n is even...rule 2

n × o = o, if n is odd...rule 3

n × o = e, if n is even...rule 4

thus if 3n +6 = o,

then 3n must be odd, following rule 1

=> 3n = o, then n is an odd number, following rule 3

Answer Link

Otras preguntas

characteristics of a sociopath
How are metamorphic rocks part of the rock cycle?
what time is it in jerusalem
Which of the following is a TRUE statement regarding the discrimination those with HIV/AIDS face?
Which detail from Chaucer's "The Monk’s Tale" best demonstrates that Fortune is a "blind prosperity" that no one should trust?
Explain how using assistive technology can promote healthy emotional and social development. Discuss how you think young children and teens may be affected and
when do babies start teething
caffeine content in coffee
The speaker’s vision suddenly changes with the image of the — a. pleasure-dome c. “miracle of rare device” b. romantic chasm d. damsel with the dulcimer
The first aspect of the argument you must evaluate is the truth of the reasons that are being used to support a conclusion. (Points : 5) True Fa