Question

Is every integer greater than its square?
1) True
2) False

Answer 1

The statement "Every integer is greater than its square" is false.

Step-by-step explanation:

The statement "Every integer is greater than its square" is False. Let's consider an example: the integer 0. If we square 0, the result is still 0. So, 0 is not greater than its square. Similarly, negative integers, such as -1 or -2, when squared, become positive, but their squares are still greater than the actual number itself. Additionally, positive integers greater than 1, when squared, become even larger numbers, so they are not greater than their squares either.