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

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

(-∞,-3)

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:

= x<-3

and in interval form the solution is: (-∞,-3)