Answered

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

Sagot :

First we substract 10 from both sides of the inequality:

[tex]\begin{gathered} (-3k-12>-k+10)(-10) \\ \Rightarrow-3k-12-10>-k+10-10 \\ \Rightarrow-3k-22>-k \end{gathered}[/tex]

Then we add 3k to both sides:

[tex]\begin{gathered} (-3k-22>-k)(+3k) \\ \Rightarrow-3k-22+3k>-k+3k \\ \Rightarrow-22>2k \end{gathered}[/tex]

Finally we divide by 2 the expression:

[tex]\begin{gathered} (-22>2k)(\frac{1}{2}) \\ \Rightarrow-11>k \end{gathered}[/tex]

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