Firstly, we are given the inequality |x|+8<13.
To isolate the absolute value on one side, we can subtract 8 from both sides of the inequality. This will give us
|x|<13-8.
Then our inequality will look like |x|<5.
Remember, if an absolute value is less than a number, it means that the real value can range from the negative value of that number to the positive value of the same number.
In our case, x can be any number between -5 and 5, since absolute value of x is less than 5.
Therefore, the solution to the inequality |x|+8<13 is any real number 'x' that falls in the interval between -5 and 5.