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

There are 6 pencils in a box. 3 of the pencils are red, 2 are blue and 1 is green. A pencil is taken out of the box without looking. What is the probability tha
To calculate the area of the front surface of a box,you (a) add the length to the height (b) add twice the length to twice the height ( c) multiply the length b
Create the shortest poem ever in world history. This you do, your name could be on the Guiness World Records!
If x=3 and y=-2 and z=4, what is the value of 3x + 2y - z?
a trapezoid has an area of 20cm squared and a height of 5 cm. what is the sum of its top and bottom sides
A cable is lifting a construction worker and a crate. The weights of the worker and crate are 965 N and 1510 N, respectively. The acceleration of the cable is
If a=3 and b=5, what is the value of 3a + b to the power of 2?
write the ratio as a fraction in simplest form. 16ft to 6yd
what is the theory that tax cuts can raise supply called
Simplify (7-8i)+(-12-4i)