What is the sum of all integers that satisfy -3n<7n-20<3n

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03-12-2017
Mathematics

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What is the sum of all integers that satisfy -3n<7n-20<3n

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zizoux07p0ac3m zizoux07p0ac3m · Answer 1 · 2017-12-03T23:37:16+01:00

zizoux07p0ac3m zizoux07p0ac3m

03-12-2017

first let's solve the inequality

-3n<7n-20<3n
0<10n-20<6n
0<10n-6n<20
0<4n<20
0<n<5

n ∈ ]0,5[

the integers in this interval are 1,2,3,4 . their sum is 10

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