Answer: An absolute value inequality is an inequality that contains an absolute value expression. The solution set of an absolute value inequality is the set of all values that make the inequality true.
To solve the given absolute value inequality, |x+3|<9, we can split it into two separate inequalities: x+3<9 and x+3>-9. Solving these two inequalities, we get x<6 and x>-12. Combining these two solutions, we get the solution set for the given absolute value inequality as -12<x<6.
This means that any value of x between -12 and 6 (not inclusive) will make the given absolute value inequality true.
Hope this helps!