Chapter 6.3, Problem 3WE

To determine

To write: an indirect proof of given conditional.

Answer to Problem 3WE

The correct first sentence of this indirect proof is: Assume that $a-b=0$

Explanation of Solution

Given information:

If $a\ne b$ , then $a-b\ne 0$ .

Calculation:

Consider the following statement:

If $a\ne b$ , then $a-b\ne 0$ .

Someone wants to write an indirect proof for this statement

There is need to write a correct first sentence of this indirect proof.

The correct first sentence of this indirect proof is: Assume that $a-b=0$