Answer:
Explanation:
To solve this inequality, we can start by isolating the absolute value expression on one side of the inequality.
|x| + 6 < 13
Subtracting 6 from both sides, we get:
|x| < 7
Now we have an absolute value inequality to solve. We can split this into two separate inequalities, one for when x is positive and one for when x is negative.
When x is positive:
|x| < 7 becomes x < 7
When x is negative:
|x| < 7 becomes -x < 7, or x > -7
Therefore, the solution to the inequality is:
-7 < x < 7
This means that x can be any number between -7 and 7, but not including -7 or 7.