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

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  • zizoux07p0ac3m

    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