Final answer:
To solve the inequality |q+2|<=10, break it into two separate inequalities: q+2<=10 and -q-2<=10. The solution set is -12<=q<=8.
Step-by-step explanation:
To solve the inequality |q+2|<=10, we can break it into two separate inequalities: q+2<=10 and -q-2<=10. Solving the first inequality, we subtract 2 from both sides to get q<=8. Solving the second inequality, we add 2 to both sides and multiply by -1 to get q>=-12.
The solution set for the inequality is -12<=q<=8.