Solve for n: 21k – 3n + 9p > 3p + 12.
n > 2p + 7k – 4
n < 2p + 7k – 4
n > –4p – 7k + 4
n < –4p – 7k + 4
Just work things normally:
21k – 3n + 9p > 3p + 12
21k - 3n > -6p + 12
7k - n > -2p + 4
-n > -2p - 7k + 4
n < 2p + 7k - 4
T > L plus D all divided by B
To solve for n in the inequality 21k - 3n + 9p > 3p + 12, we can isolate n on one side of the inequality.
Step 1: Start with the given inequality:
21k - 3n + 9p > 3p + 12
Step 2: Move the constants to the opposite side of the inequality:
21k - 3n + 9p - 3p - 12 > 0
Step 3: Simplify the equation by combining like terms:
21k - 3n + 6p - 12 > 0
Step 4: Move the terms without n to the opposite side of the inequality:
-3n > -21k - 6p + 12
Step 5: Divide both sides of the inequality by -3 (remember to reverse the inequality symbol when dividing by a negative number):
n < (-21k - 6p + 12) / -3
Step 6: Simplify the right side of the inequality:
n < 7k + 2p - 4
Therefore, the correct answer is:
n < 7k + 2p - 4
To solve the inequality 21k – 3n + 9p > 3p + 12 for n, you need to isolate n on one side of the inequality.
First, let's simplify the inequality by combining like terms.
21k - 3n + 9p > 3p + 12
Next, we can get rid of the constant terms on both sides of the inequality by subtracting 3p + 12 from both sides:
21k - 3n + 9p - (3p + 12) > 0
21k - 3n + 9p - 3p - 12 > 0
21k - 3n + 6p - 12 > 0
Now, let's further simplify:
21k + 6p - 3n - 12 > 0
Next, let's rearrange the terms to isolate n:
-3n > -21k - 6p + 12
To get rid of the coefficient (-3) in front of n, we need to divide both sides of the inequality by (-3). But since we are dividing by a negative number, we also need to flip the direction of the inequality sign:
n < (-21k - 6p + 12) / (-3)
Simplifying further:
n < (21k + 6p - 12) / 3
Now we have the inequality:
n < 7k + 2p - 4
Therefore, the correct answer is n < 7k + 2p - 4.