Final answer:
The inequality -9 + 3(7n - 1) < 2n - 1 + 9 simplifies to n < 20/19 after distributing, combining like terms, and isolating n. No provided answer choices match, so the correct answer is 'None of the above'.
Step-by-step explanation:
To solve the inequality -9 + 3(7n - 1) < 2n - 1 + 9, first distribute the 3 into the parentheses:
-9 + 21n - 3 < 2n - 1 + 9
Next, simplify both sides of the inequality:
21n - 12 < 2n + 8
Now, move all n terms to one side by subtracting 2n from both sides:
19n - 12 < 8
Then, move the constant term to the other side by adding 12 to both sides:
19n < 20
Finally, divide both sides by 19 to isolate n:
n < 20/19
The simplified form of the inequality shows that n is less than approximately 1.05, which is not an answer choice provided. Therefore, the answer must be 'None of the above'