what number line represents the solution set for the inequality 3x < –9?
The solution set of the given inequality \(3x<-9\) is:
(-∞,-3)
We are given a inequality in terms of the variable x by:
\(3x<-9\)
We divide both side of the inequality by 3 to obtain the new expression as:
\(x<-3\)
This means that the graph of such a inequality is the set of all the real value which are strictly less than -3( since the inequality is strict)
Hence, the solution set in set-Builder form is:
={all x belonging to real numbers| x<-3}
and in interval form the solution is: (-∞,-3)