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2021 AMC 10B Problem 1

Problem 1 of 25EasierAlgebraCombinatorics

How many integer values of xx satisfy ∣x∣<3π?|x| < 3\pi?

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Solution

Every integer from −9-9 to 9,9, inclusive, works. This yields 9−(−9)+1=199-(-9)+1 = 19 solutions. Thus, the correct answer is D .
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Tagged: absolute value · counting integers in a range

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