Answer:
d. x = 1
Step-by-step explanation:
You want a counter-example to the statement x < x² for every integer x.
Counter-example
A counter-example will be the solution to the inequality that is the negation of the one given:
x ≥ x²
0 ≥ x² -x
0 ≥ x(x -1)
The roots of the equation are x=0 and x=1. Of these, the integer x=1 is on the list of answer choices. In that case, the inequality becomes ...
1 < 1² . . . . false
x = 1 is a counter example, choice D.
__
Additional comment
As shown in the attachment, the given relation is false for all values of x in the interval [0, 1].
