Solve for n: 21k - 3n + 9p > 3p + 12.

Solution:

Given inequality is 21k - 3n + 9p > 3p + 12

Let us isolate the variable n and solve for it.

⇒ 21k - 3n > 3p - 9p + 12

⇒ 21k - 3n > -6p + 12

Divide by 3 on both sides to solve for n.

⇒ 7k - n > -2p + 4

⇒ 7k + 2p - 4 > n

⇒ n < 7k + 2(p - 2)

N takes all values less than 7k + 2(p - 2).

Solve for n: 21k - 3n + 9p > 3p + 12.

Summary:

By solving 21k - 3n + 9p > 3p + 12, we got n values less than7k + 2(p - 2).