Question

Which value below is included in the solution set for the inequality statement?-3(x-4) > 6(x-1)-1273

Answer 1

Simplify the inequality and then check which of those values is included in the solution set:

`\begin{gathered} -3(x-4)>6(x-1) \\ \Rightarrow-3x+12>6x-6 \\ \Rightarrow-3x-6x>-6-12 \\ \Rightarrow-9x>-18 \\ \Rightarrow9x<18 \\ \Rightarrow x<(18)/(9) \\ \Rightarrow x<2 \end{gathered}`

From the options -1, 2,7 and 3, the only number which is less tan 2 is -1.

Therefore, the only value below included in the solution set is:

`-1`