Final answer:
To solve the inequality x-2 < 9, add 2 to both sides of the inequality to isolate the variable x. The solution is x < 11.
Step-by-step explanation:
To solve the inequality x-2 < 9, we need to isolate the variable x. Add 2 to both sides of the inequality:
x - 2 + 2 < 9 + 2
x < 11
So the solution to the inequality is x < 11. This means that any value of x that is less than 11 will satisfy the inequality.
Learn more about Solving inequalities algebraically