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

If the sun ran out of energy what would happen to the energy resources on earth
how can you simplify 24                                ---                                30
How is the ecological system organized?
The positive integer x is a multiple of 9 and also a multiple of 12. The smallest possible value of x is (A) 3 (B) 12 (C) 21 (D) 36 (E) 72
The function f(t) = −5t 2 + 20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit
Examples of cultural diffusion in ancient Rome pertaining to government
What was the Islamic Golden Age?
Because the majority of the evening cable TV programs available dealt with violence and sex, the parents decided that the programs were for the children to watc
What is the answer to split 56 in the ratio of 3:4
what is 3 2/5 times 2 1/3