Let's break down the inequality:

$|8 - 5| > 3$

Step 1: Simplify the absolute value expression

First, we calculate the value inside the absolute value:

$8 - 5 = 3$

Now, the absolute value of 3 is:

$|3| = 3$

Step 2: Substitute into the inequality

The inequality becomes:

$3 > 3$

Step 3: Evaluate the inequality

The statement $3 > 3$ is false because 3 is not greater than 3—it is equal to 3.

Conclusion:

The inequality $|8 - 5| > 3$ is false.

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Would you like further clarification or a more detailed explanation?

Here are some related questions for further study:

1. How does the absolute value function affect inequalities?
2. What happens when the inequality involves a less than symbol (e.g., $|x - 3| < 2$)?
3. How do you solve absolute value equations?
4. What is the concept of distance in relation to absolute values?
5. How do inequalities with absolute values differ from simple algebraic inequalities?

Tip: When solving inequalities involving absolute values, always break them down into two separate cases based on whether the expression inside the absolute value is positive or negative.