Question

Solve the inequality.Explain all steps and Identify the properties used. n/-3 + 5>4

Answer 1

For this..

`(n)/(-3)+5 \ \textgreater \ \mathrm{Apply\:the\:fraction\:rule}:\ (a)/(-b)=-(a)/(b) \ \textgreater \ -(n)/(3)+5 \ \textgreater \ (n)/(3)+5\ \textgreater \ 4`


`\mathrm{Subtract\:}5\mathrm{\:from\:both\:sides} \ \textgreater \ -(n)/(3)+5-5\ \textgreater \ 4-5 \ \textgreater \ \ \textgreater \ -(n)/(3)\ \textgreater \ -1`


`\mathrm{Multiply\:both\:sides\:by\:}3 \ \textgreater \ 3\left(-(n)/(3)\right)\ \textgreater \ 3\left(-1\right) \ \textgreater \ \mathrm{Simplify} \ \textgreater \ -n\ \textgreater \ -3`


`\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}`

`\left(-n\right)\left(-1\right)\ \textless \ \left(-3\right)\left(-1\right) \ \textgreater \ \ \textgreater \ \mathrm{Simplify} \ \textgreater \ n\ \textless \ 3`

Hope this helps!

Answer 2

n/-3>4-5
then you can just times by -3 to get n on it's own
n>-3(4-5)
n>-3*-1
n>3