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5+10n-10>40
Use the distributive property to multiply 10 by n-1.
-5+10n>40
Subtract 10 from 5 to get -5.
10n>40+5
Add 5 to both sides.
10n>45
Add 40 and 5 to get 45.
n>\frac{45}{10}
Divide both sides by 10. Since 10 is positive, the inequality direction remains the same.
n>\frac{9}{2}
Reduce the fraction \frac{45}{10} to lowest terms by extracting and canceling out 5.