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If
n=3a-6, which inequality below will make
n a positive number?

If $n=3 a-6$ , which inequality below will make $n$ a positive number?

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Solutions to inequalities

Full solution

Q. If

n=3 a-6

, which inequality below will make

n

a positive number?

Set up inequality: To make $n$ positive, $3a - 6$ must be greater than $0$ . So, we set up the inequality $3a - 6 > 0$ .
Add $6$ to isolate: Add $6$ to both sides to isolate the term with $a$ . $3a - 6 + 6 > 0 + 6$ This simplifies to $3a > 6$ .
Divide to solve for a: Divide both sides by $3$ to solve for a. $\newline$ $\frac{3a}{3} > \frac{6}{3}$ $\newline$ This simplifies to $a > 2$ .

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