Answer:
It would be >
Explanation:
When both a and b are positive real numbers, their product (ab) will also be positive. This is because multiplying two positive numbers always results in a positive number.
Let's consider the possible cases:
If both a and b are greater than zero, their product ab will be greater than zero. (a > 0, b > 0 → ab > 0)
If either a or b is equal to zero, their product ab will be equal to zero. However, in this scenario, the statement "ab > 0" would not hold true. (a > 0, b = 0 → ab = 0)
Therefore, to maintain the statement's validity, we must use the greater than symbol (>), indicating that ab is greater than zero.