Question

What is the answer to this question: 5n + 3 > 6n + 5?

A) n > 2
B) n < 2
C) n = 2
D) n ≥ 2

Answer 1

The inequality 5n + 3 > 6n + 5, through algebraic manipulation, simplifies to -2 > n, indicating that n must be less than -2. Therefore, the correct answer is B) n < 2.

Step-by-step explanation:

To solve the inequality 5n + 3 > 6n + 5, let's perform algebraic manipulation to isolate the variable on one side:

1. Subtract 5n from both sides: 5n - 5n + 3 > 6n - 5n + 5, which simplifies to 3 > n + 5.
2. Subtract 5 from both sides: 3 - 5 > n, which simplifies to -2 > n.

This means that n must be less than -2 for the inequality to hold true. Therefore, the correct answer is B) n < 2.