Question 16
The statement "When an integer is added to itself, the sum is greater than the integer" is
(a) always true
(b) never true
(c) true only when the integer is positive
(d) true for non-negative integers
Let us take two integers, 1 and -1.
On adding 1 to itself, we get 1+1 = 2
Here, the sum is greater than the integer (+1).
On adding -1 to itself, we get (-1) + (-1) = -1-1 = -2
Here, the sum is less than the integer (-1).
Hence, when a positive integer is added to itself the sum is greater than 1.