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

Read the passage below and answer the question. Out of the noise of tired people working, Harried with thoughts of war and lists of dead, His beauty met me li
Helpppppppppp please
How does stress affect your respiratory system? Please select all correct answers. 38 points! A. shortness of breathe B. rapid breathing C. slow breathing D. i
Sexual objectification is an example of sexism. A. True B. False
When comparing cholera outbreaks of the past and present, we said that 19th-century London and present-day Zimbabwe have poor healthcare by modern standards. Ho
What is expected to happen to malaria-carrying mosquitoes in the coming century?
Need helppppppp fast
evaluate the function rule for the given rule. f(x)=3^x for x=-5 PLEASE HELP
What countries are currently going through rapid industrialization?
How to check what devices are connected to my computer?