Question

The smallest integer n for which 4n > 1719 holds, is closest to

• A. 33
• B. 37
• C. 38
• D. 35

Answer 1

The Correct Option is C

Step 1: Given Inequality

We start with the given inequality:

\[ 4n > 1719 \]

Step 2: Multiply both sides by 4

To isolate \( n \), we convert \( 4n \) as follows:

\[ 4n = \frac{16n}{4} \Rightarrow \frac{16n}{2} > 1719 \]

Step 3: Divide both sides by 16

\[ \frac{16n}{2} > 1719 \Rightarrow \frac{n}{2} > 19 \]

Step 4: Multiply both sides by 2

\[ n > 38 \]

Final Answer:

\[ \boxed{n > 38} \]