2021 AMC 10B Problem 1

How many integer values of

x

satisfy

|x| < 3\pi?

Show solution

Solution

Every integer from

-9

9,

inclusive, works. This yields

9-(-9)+1 = 19

solutions. Thus, the correct answer is D .

Concepts: absolute value · counting integers in a range

Problem text and solution from the LIVE past-contest archive. See also the AoPS wiki page for community solutions.