Answer:
The expression |X| < 3 represents all real numbers whose distance from zero is less than 3 on the number line. This includes both positive and negative numbers.
Here are all the points that satisfy the inequality:
All real numbers between -3 (exclusive) and 3 (exclusive): (-3, 3)
Explanation:
The absolute value function |X| removes the negative sign of any number. So, both positive and negative values less than 3 in distance from zero are included.
Since the inequality is strict (<), it excludes the endpoints -3 and 3 themselves.
Therefore, any real number within the open interval (-3, 3) satisfies the inequality |X| < 3.
Step-by-step explanation:
