Question

Select the value for x that is a counter-example to the following statement: For every integer x, x < x²

Answer 1

To find a counter-example to the statement “For every integer x, x < x²”, we can choose x = 0.

Step-by-step explanation:

To find a counter-example to the statement “For every integer x, x < x²”, we need to find an integer x for which x is not less than x². Let's test the statement by choosing x = 0. When x = 0, we have 0 < 0², which is not true. Therefore, x = 0 is a counter-example to the given statement.