Question

if n=3a-6 which blow will make n a positive a>2 a<2 a<-2 a >-2

Answer 1

To determine the conditions under which \( n = 3a - 6 \) is positive, we need to set up the inequality:

\[
3a - 6 > 0
\]

Now, let's solve this inequality step by step:

1. Add \( 6 \) to both sides:

\[
3a > 6
\]

2. Divide both sides by \( 3 \):

\[
a > 2
\]

So, for \( n \) to be positive, \( a \) must be greater than \( 2 \).

Now let’s analyze the options provided:

- \( a > 2 \) → This will make \( n \) positive.
- \( a < 2 \) → This will make \( n \) negative.
- \( a < -2 \) → This will also make \( n \) negative.
- \( a > -2 \) → This does not guarantee that \( n \) is positive, as \( a \) could be less than \( 2 \) in this range.

The correct condition for \( n \) to be positive is:

**\( a > 2 \)**.