Question

Solve the inequality-3k - 12 > -k + 10k<-6k> -6k <-3k > -3

Answer 1

First we substract 10 from both sides of the inequality:

`\begin{gathered} (-3k-12>-k+10)(-10) \\ \Rightarrow-3k-12-10>-k+10-10 \\ \Rightarrow-3k-22>-k \end{gathered}`

Then we add 3k to both sides:

`\begin{gathered} (-3k-22>-k)(+3k) \\ \Rightarrow-3k-22+3k>-k+3k \\ \Rightarrow-22>2k \end{gathered}`

Finally we divide by 2 the expression:

`\begin{gathered} (-22>2k)((1)/(2)) \\ \Rightarrow-11>k \end{gathered}`