Question

Solve for n: 21k – 3n + 9p > 3p + 12.

Answer 1

To solve for n, isolate the variable n in the inequality 21k – 3n + 9p > 3p + 12. Move terms containing n to one side and simplify. Divide both sides by -3 to solve for n.

Step-by-step explanation:

To solve for n in the inequality 21k – 3n + 9p > 3p + 12, we need to isolate the variable n. Here is a step-by-step process:

1. Move all terms containing n to one side of the inequality by subtracting 3n from both sides: 21k + 9p - 3n > 3p + 12 - 3n.
2. Combine like terms on both sides: 21k + 9p - 3n > 3p + 12 - 3n simplifies to 21k + 9p - 3n > 3p + 12 - 3n.
3. Next, move all terms not containing n to the opposite side by subtracting 21k + 9p from both sides: 21k + 9p - 3n - 21k - 9p > 3p + 12 - 3n - 21k - 9p. This simplifies to -3n > 3p + 12 - 21k - 9p.
4. Simplify the equation further: -3n > -6p + 12 - 21k.
5. Finally, divide both sides of the inequality by -3 (remembering that dividing by a negative number flips the inequality symbol): n < (6p - 12 + 21k) / 3.

The solution for n is n < (6p - 12 + 21k) / 3.

Answer 2

21k - 3n + 9p > 3p + 12....for n
-3n > 3p + 12 - 9p - 21k
n < (3p + 12 - 9p - 21k) / -3
n < -p - 4 + 3p + 7k
n < 2p - 4 + 7k <===