Question

Solve the nequality. 4(x-6) - 42x < - 9[4x + 6) - 3x

Answer 1

Given the inequality:

`4(x-6)-42x<-9(4x+6)-3x`

We can use the distributive property on the parenthesis to get the following:

`\begin{gathered} 4(x-6)-42x<-9(x+6)-3x \\ \Rightarrow4x-24-42x<-9x-54-3x \\ \Rightarrow-24-38x<-39x-54 \end{gathered}`

Now we can move the term -39x to the left and -24 to the right to get the follownig expression:

`\begin{gathered} -24-38x<-39x-54 \\ \Rightarrow39x-38x<-54+24=-30 \\ \Rightarrow x<-30 \end{gathered}`

therefore, the solution of the inequality is x < -30