Question

To prove : "The integers can be of the form $4n,4n+1,4n+2or4n+3$" by direct method, we shall start the proof by the assumption

• A. Let integers not of form $4n,4n+1,4n+2or4n+3$.
• B. Let integers be not of form $4n$.
• C. Let $z$ be any integer.
• D. Let $z<0$

Answer 1

The correct option is C Let $z$ be any integer.

As we are solving by direct method we need to assume what is given in the hypothesis, which is in this case z be any integer.

$C$