What is the solution for x in the absolute value inequality |x + 8| > -2?

The inequality |x + 8| > -2 can be analyzed by understanding the properties of absolute values. The absolute value of any expression, such as x + 8, is always greater than or equal to zero because absolute values represent the distance from zero on the number line. Therefore, the expression |x + 8| itself can never be negative.

Given this, the inequality states that |x + 8| must be greater than a negative number, -2. Since any non-negative value (which |x + 8| must be) will always be greater than -2, this inequality holds true for all real values of x. Essentially, every value of x will satisfy the condition presented by the inequality, meaning that there are no restrictions on the values of x that can be selected.

Consequently, the solution encompasses all real numbers, which justifies why the complete set of real numbers is the answer.