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How can 3x² - 27x ≤ 0 be represented on a number line?

How Can 3x 27x 0 Be Represented On A Number Line class=

Sagot :

Let's graph the following inequalities in a number line:

[tex]\text{ 3x^^b2 - 27x \le 0}[/tex]

First, let's factor out the equation and determine its zeros.

3x² - 27x ≤ 0

(3x² - 27x) ÷ 3 ≤ 0 ÷ 3

x² - 9x ≤ 0

x(x - 9) ≤ 0

There are two factors, x and x - 9. Thus, the solution to the inequality is:

x = 0

x - 9 = 0

x = 9

The intervals will be:

0 ≤ x ≤ 9

Putting this in a number line will be:

The answer is CHOICE B.

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