Consider the following proof. Proof: Assume that there is an odd integer n which can be expressed as the sum of three even integers x , y and z . Then x = 2a , y = 2b , and z = 2c where a , b , c are integers. Therefore
n = x + y + z = 2(a + b + c).
Since a + b + c is an integer, n is even. This is a proof of what statement?

Question

Consider the following proof. Proof: Assume that there is an odd integer   n  which can be expressed as the sum of three even integers   x ,   y  and   z . Then   x = 2a ,   y = 2b , and   z = 2c  where   a ,   b ,   c  are integers. Therefore 
  n = x + y + z = 2(a + b + c). 
 Since   a + b + c  is an integer,   n  is even. This is a proof of what statement?

Answer

No odd integer can be expressed as the sum of three odd integers.

Answer

No even integer can be expressed as the sum of three even integers.

Answer

An odd integer can be expressed as the sum of three even integers.

Answer

No even integer can be expressed as the sum of three odd integers.

Answer

No odd integer can be expressed as the sum of three even integers.

Answer

An even integer can be expressed as the sum of three even integers.

Crowdly

Consider the following proof. Proof: Assume that there is an odd integer n wh...

Want instant access to all verified answers on learning.monash.edu?