To solve the inequality [tex]\(3p - 6 > 21\)[/tex], we will follow these steps:
1. Add 6 to both sides of the inequality:
[tex]\[ 3p - 6 + 6 > 21 + 6 \][/tex]
Simplifying this, we get:
[tex]\[ 3p > 27 \][/tex]
2. Divide both sides of the inequality by 3:
[tex]\[ \frac{3p}{3} > \frac{27}{3} \][/tex]
Simplifying this, we get:
[tex]\[ p > 9 \][/tex]
The solution to the inequality [tex]\(3p - 6 > 21\)[/tex] is [tex]\(p > 9\)[/tex].
Therefore, the best answer is:
A. [tex]\( p > 9 \)[/tex]
