Question

If |x| < x², Which of the Following Must Be True?

A. x is positive
B. x is negative
C. x is zero
D. x is a fraction

Answer 1

In the given inequality |x| < x², the statement that must be true is that x is negative.

Step-by-step explanation:

In the given question, we are asked to determine which statement must be true if |x| < x². Let's analyze the given inequality.

|x| < x²

This inequality is true when x is negative or zero. It is not true when x is positive or a fraction. Therefore, the correct statement is B. x is negative.