Question
Find the property of the real numbers which will complete the argument below:
1. Zero is not a positive number.
2. Choose x as the smallest number.
3. The ________ property tells us that _________.
4. Therefore, between x and 0 there will be a third number, smaller than x.
5. Call this new number x and return to step 2.
6. We never find a smallest number and we never arrive at 0.
1. Zero is not a positive number.
2. Choose x as the smallest number.
3. The ________ property tells us that _________.
4. Therefore, between x and 0 there will be a third number, smaller than x.
5. Call this new number x and return to step 2.
6. We never find a smallest number and we never arrive at 0.