Question

The product of every two distinct positive integers less than 10 is greater than their sum

A. True.
B. False.

Answer 1

The product of every two distinct positive integers less than 10 is greater than their sum.

Step-by-step explanation:

The question is asking whether the product of two distinct positive integers less than 10 is always greater than their sum. To answer this question, we can examine all the possible pairs of positive integers less than 10 and compare their products to their sums.

1. For example, the pair (1, 2) has a product of 2 and a sum of 3. In this case, the product is greater than the sum.
2. Another example is the pair (2, 3) which has a product of 6 and a sum of 5. In this case, the product is also greater than the sum.
3. We can continue checking all the pairs and we will find that in all cases, the product is indeed greater than the sum.

Therefore, the correct answer is A. T