Question

Which is a counterexample for the following statement?

The sum of two numbers is smaller than the product of the same numbers.
-2 1/2 and -8
-1 and -3
1 and 3
2 1/2 and 8

Answer 1

The answer is 1 and 3

Answer 2

1 and 3 is the counter example.

Explanation:

The sum of - 2.5 and - 8 is - 10.5 and their product is (- 2.5) × (- 8) = 20

Therefore, Sum is smaller than the product.

The sum of - 1 and - 3 is - 4 and their product is (- 1) × (- 3) = 3

Therefore, Sum is smaller than the product.

Again, the sum of 1 and 3 is 4 and their product is (1) × (3) = 3

Therefore, Sum is greater than the product.

Now, the sum of 2.5 and 8 is 10.5 and their product is (2.5) × (8) = 20

Therefore, Sum is smaller than the product.

Hence, 1 and 3 is the counterexample. (Answer)