Difference between revisions of "2021 AMC 12B Problems/Problem 1"
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How many integer values of <math>x</math> satisfy <math>|x|<3\pi</math>? | How many integer values of <math>x</math> satisfy <math>|x|<3\pi</math>? | ||
Revision as of 13:03, 12 February 2021
Contents
Problem
How many integer values of satisfy
?
Solution
Since is about
, we multiply 9 by 2 and add 1 to get
~smarty101
Solution 2
. Since
is approximately
,
is approximately
. We are trying to solve for
, where
. Hence,
, for
. The number of integer values of
is
. Therefore, the answer is
.
~ {TSun} ~
Video Solution by OmegaLearn (Basic Computation)
Video Solution by Hawk Math
https://www.youtube.com/watch?v=VzwxbsuSQ80
See Also
2021 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by First Problem |
Followed by Problem 2 |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
All AMC 12 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.