Question

Solve the following inequality for n. Write your answer in simplest form.

1 + 40 - 6n - 4 < 10n + 4 - n
(a) n > 9
(b) n < 9
(c) n > 10
(d) n < 10

Answer 1

After simplifying the inequality and solving for n, we find that n > 2.2, which does not match any of the provided answer choices. There may be an error in the question or answer options.

Step-by-step explanation:

To solve the inequality 1 + 40 - 6n - 4 < 10n + 4 - n for n, first simplify both sides of the inequality:

37 - 6n < 9n + 4
Now, combine like terms by moving terms involving n to one side and constant terms to the other side:

37 - 4 < 9n + 6n
33 < 15n
Finally, divide both sides by 15 to solve for n:

n > 2.2

So, the solution is n > 2.2. However, none of the options provided in the question (n > 9, n < 9, n > 10, or n < 10) match the solution. There may have been an error in the statement of the problem or the options provided.