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

Solve the 1st equation:   -3n< 7n-20subtract  7nfrom both sides-3n-7n< -20  simplify  -3n-7n  to  −10n-10n< -20  divide both sides by  −10n> -20/-10  two negatives make a positiven> 20/10simplify 20/10 to 2n> 2solve the 2nd equation:   7n-20< 3nsubtarct 7n from both sides−20< 3n−7nsimplify  3n-7n  to  −4n−20/-4> ntwo negatives make a positive20/4> nsimplify 20/4 to 55> nswitch sides  n< 5combine the above inequalities2< n< 5

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