Question

0 1 2 3 4 5 6 7 8 9 100 1 2 3 4 5 6 7 8 9 100 1 2 3 4 5 6 7 8 9 10401234 5 6 7 8 9 10OB.C.OD. +Reset Selection

Answer 1

Okay, here we have this:

Considering the provided inequation, we are going to identify how can be represented on a number line, so we obtain the following:

So the first thing we will do is factor to find the solution intervals, we have:

`\begin{gathered} 3x^2-27x\leq0 \\ x(x-9)\leq0 \\ 0\leq x\leq9 \end{gathered}`

According to this, we finally obtain that the solution interval is option D, because it satisfies the found interval and its endpoints are closed.