Question

18 < 3n > 15

Solve for 'n' in the inequality.
A) n < 6
B) n > 6
C) n = 6
D) n < 4

Answer 1

After dividing all parts of the compound inequality 18 < 3n > 15 by 3, we find that n must be greater than 5 and less than 6, which means there is no integer that satisfies both conditions. None of the answer options provided match this result.

Step-by-step explanation:

The question requires you to solve the inequality 18 < 3n > 15 for 'n'. To solve for 'n', we divide all parts of the inequality by 3. This gives us:

• 18 / 3 < 3n / 3 > 15 / 3
• 6 < n > 5

Therefore, the solution for 'n' is values that are greater than 5 and less than 6. This indicates that there is no integer value that 'n' can take to satisfy both inequalities at the same time. Hence, there is no correct answer among the options provided (A, B, C, D).