Respuesta :

Answer:

answer: B

step: simplify both sides: 1/6a < 12

multiply bithsides by 6: 6 * (1/6a) < (6) * (12)

Answer:

Option B

Step-by-step explanation:

Given the following question:

[tex]\frac{a}{6} <12[/tex]

In order to find the answer to this question, we simply multiply by six on both sides.

[tex]\frac{a}{6} <12[/tex]
[tex]\frac{6a}{6}=a[/tex]
[tex]12\times6=72[/tex]
[tex]a<72[/tex]

Now in order to graph a solution on a number line we have to keep a few things in mind. For example, the greater than or equal to symbol, and the circle on the number line.

<

In this case we have a < symbol which means the number line will have a open circle. Since the line is < than the variable the line would go into the opposite direction of the < symbol, since it's less than 72.

Which means your answer is option B.

Hope this helps.