Olympiad workbookIOQMBasics of Mathematics
Find the number of integer solutions to ||x|-2020| < 5 .
Correct answer
18
Step-by-step solution
aligned & ||x|-2020| < 5 & -5 < |x|-2020 < 5 & 2015 < |x| < 2025 & -2025 < x < -2015 OR 2015 < x < 2025 & x=-2024,-2023, . .,-2016 ; & OR x=2016,2017, ., 2024 & Number of integer solutions =18 aligned