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

Equivalent expression for 6(x+2)
need this urgentlywill give brainliest
I need advice... Does this make sense to anyone? "I am ardent of it all."
Suppose a triangle has two sides of length 3 and 4 and that the angle between these two sides is 60°. What is the length of the third side of the triangle? A)
The difference between 7 times a number and 5 is 51. What is the missing number?
What is the smallest number of house of representatives fot a state
It takes 8 minutes for sue to make 2 laps around the go-kart track. how many laps can sue complete in 24 minutes
In an electric circuit it must be what or there will be no flow of electricity?
find the sum of 7/13 and 11/26.
why did president Hoover‘s response to the Great Depression fail please get specific details to support your answer