Question

what number line represents the solution set for the inequality 3x < –9?

Answer 1

3x<-9
3x/3<-9/3
x<-3  or (-∞,-3).

Answer: (-∞,-3).

Answer 2

Answer:

The solution set of the given inequality $3x<-9$ is:

                         (-∞,-3)

Step-by-step explanation:

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)