2021 AMC 10B Spring Problem 1 — Solution | LIVE by Po-Shen Loh

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2021 AMC 10B Spring Problem 1

Below is the professionally curated solution for Problem 1 of the 2021 AMC 10B Spring, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2021 AMC 10B Spring solutions, or check the answer key.

All of the real AMC 8, AMC 10, AMC 12, and AIME problems in our complete solution collection are used with official legal permission of the Mathematical Association of America (MAA).

Concepts:absolute value counting integers in a range

Difficulty rating: 560

1.

How many integer values of $x$ satisfy $|x| < 3\pi?$

$9$

$10$

$18$

$19$

$20$

Solution:

Every integer from $-9$ to $9,$ inclusive, works. This yields $9-(-9)+1 = 19$ solutions.

Thus, the correct answer is D .

Full Exam Problem 2 →

Problem 1 in Other Years

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