Question

Solve the following inequality for n. Write your answer in the simplest form.9n + 4 ≤ 6n - 6

Answer 1

Given,

The expression is,

`9n+4\le6n-6`

Substracting 4 from both sides then,

`\begin{gathered} 9n+4-4\le6n-6-4 \\ 9n\le6n-10 \end{gathered}`

Substracting 6n from both sides then,

`\begin{gathered} 9n\le6n-10 \\ 9n-6n\le6n-6n-10 \\ 3n\le-10 \end{gathered}`

Multiplying both sides by 1/3 then,

`\begin{gathered} 3n\le-10 \\ 3n*(1)/(3)\le-10*(1)/(3) \\ n\le-(10)/(3) \end{gathered}`

Hence, the solution for n is n<= (-10/3).