A student makes a conjecture about sums and differences Find

A student makes a conjecture about sums and differences. Find a counterexample to disprove the student\'s conjecture. Conjecture: The sum of two numbers is always greater than their difference.

Solution

The given conjecture is that sum of two number is always greater than their difference.

Let \'a\' be a positive number

Now sum of \'0\' and \'a\' gives a+0=a

Difference of a and 0 gives a-0=a

Here in this example,sum = difference.

Hence this a contradictory to the given conjecture