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Write the solution of each inequality in set-builder notation.3(2k + 12) < -42

User Cathyjo
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1 Answer

3 votes

ANSWER :


\lbrace k|k\in R,k<-13\rbrace

EXPLANATION :

From the given inequality :


3(2k+12)<-42

Simplify and solve the values of k.


\begin{gathered} 3(2k+12)<-42 \\ 6k+36<-42 \\ 6k<-42-36 \\ 6k<-78 \\ k<-(78)/(6) \\ k<-13 \end{gathered}

The solution is all real numbers that are less than -13

In set builder notation :


\mleft\lbrace k|k\in R,k<-13\mright\rbrace

User Irvin Lim
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