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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 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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